模板:不超过sqrt(n)的不同素因子
用法
{{ 直到sqrt(n)的不同素因子 |非零整数|sep=列表项分隔符(默认为 ;)}}
{{ 直到sqrt(n)的不同素因子 |非零整数|列表项分隔符(默认值, ;)}}
{{ dpf le-sqrt(n) |非零整数|sep=列表项分隔符(默认为 ;)}}
{{ dpf le-sqrt(n) |非零整数|列表项分隔符(默认值, ;)}}
有效输入
示例
代码 结果 {{ dpf le-sqrt(n) |-28}} 2 {{ dpf le-sqrt(n) |-5}} {{ dpf le-sqrt(n) |1} } {{ dpf le-sqrt(n) |7}} {{ dpf le-sqrt(n) |15}} 三 {{ dpf le-sqrt(n) |27}} 三 {{ dpf le-sqrt(n) |30}} 2, 3, 5 {{ dpf le-sqrt(n) |111}} 三 {{ dpf le-sqrt(n) |10000}} 2, 5 {{ dpf le-sqrt(n) |2^14 * 3}} 2, 3 {{ dpf le-sqrt(n) |65535}} 3, 5, 17 {{ dpf le-sqrt(n) |65536}} 2 {{ dpf le-sqrt(n) |65537}} {{ dpf le-sqrt(n) |65539}} {{ dpf le-sqrt(n) |65541}} 第3页,第7页 {{ dpf le-sqrt(n) |65543}} {{ dpf le-sqrt(n) |65547}} 三 {{ dpf le-sqrt(n) |65549}} 11, 59, 101 {{ dpf le-sqrt(n) |65551}} {{ dpf le-sqrt(n) |65553}} 三 {{ dpf le-sqrt(n) |65557}} {{ dpf le-sqrt(n) |65559}} 3, 13, 41 {{ dpf le-sqrt(n) |89 * 113}} 89 {{ dpf le-sqrt(n) |13 * 17^3}} 13, 17 {{ dpf le-sqrt(n) |89 * 211}} 89 {{ dpf le-sqrt(n) |5 * 7 * 13 * 29}} 5, 7, 13, 29 {{ dpf le-sqrt(n) |5 * 29 * 13 * 7}} 5, 7, 13, 29 {{ dpf le-sqrt(n) |13195}} 5, 7, 13, 29 {{ dpf le-sqrt(n) |13189+6} 5, 7, 13, 29 {{dpf le-sqrt(n)|5*7*13*29|; ;}} 5; 7; 13; 29 {{dpf-le-sqrt(n)|5*7*13*29|sep{=}}&# 32;}} 5; 7; 13; 29 {{dpf le-sqrt(n)|5*7*13*29| ;* ;}} 5 * 7 * 13 * 29 {{dpf le-sqrt(n)|5*7*13*29| ;+ ;}} 5 + 7 + 13 + 29 {{ dpf le-sqrt(n) |265536}} 2, 3, 461 {{ dpf le-sqrt(n) |265537}} 131 {{ dpf le-sqrt(n) |265539}} 三 {{ dpf le-sqrt(n) |265541}} {{ dpf le-sqrt(n) |265543}} {{ dpf le-sqrt(n) |265547}} {{ dpf le-sqrt(n) |265549}} 37 {{ dpf le-sqrt(n) |265551}} 3, 11, 13 {{ dpf le-sqrt(n) |265553}} 29 {{ dpf le-sqrt(n) |265557}} 3、17、41、127 {{ dpf le-sqrt(n) |265559}} 7, 59 {{ dpf le-sqrt(n) |265551}} 3, 11, 13 {{ dpf le-sqrt(n) |265553}} 29 {{ dpf le-sqrt(n) |265557}} 3, 17, 41, 127 {{ dpf le-sqrt(n) |265559}} 7, 59 {{ dpf le-sqrt(n) |265561}} {{ dpf le-sqrt(n) |265563}} 3, 19 {{ dpf le-sqrt(n) |265567}} {{ dpf le-sqrt(n) |265569}} 三 {{ dpf le-sqrt(n) |865536}} 2, 3, 7, 23 {{ dpf le-sqrt(n) |865537}} {{ dpf le-sqrt(n) |865539}} 三 {{ dpf le-sqrt(n) |865541}} 37, 149, 157 {{ dpf le-sqrt(n) |865543}} 7, 53 {{ dpf le-sqrt(n) |865547}} 43 {{ dpf le-sqrt(n) |865549}} 359 {{ dpf le-sqrt(n) |865551} 3, 31, 41, 227 {{ dpf le-sqrt(n) |865553}} 13, 139, 479 {{ dpf le-sqrt(n) |865557}} 3, 7, 11 {{ dpf le-sqrt(n) |865559}} 23 {{ dpf le-sqrt(n) |865551}} 3, 31, 41, 227 {{ dpf le-sqrt(n) |865553}} 13, 139, 479 {{ dpf le-sqrt(n) |865557} 3, 7, 11 {{ dpf le-sqrt(n) |865559}} 23 {{ dpf le-sqrt(n) |865561}} 71, 73, 167 {{ dpf le-sqrt(n) |865563}} 3, 29 {{ dpf le-sqrt(n) |865567}} 433 {{ dpf le-sqrt(n) |865569}} 3, 109 {{ dpf le-sqrt(n) |865571}} 7 {{ dpf le-sqrt(n) |865573} 67 {{ dpf le-sqrt(n) |865577}} {{ dpf le-sqrt(n) |865579}} 11, 13 {{ dpf le-sqrt(n) |865581}} 三 {{ dpf le-sqrt(n) |865583}} 19 {{ dpf le-sqrt(n) |865587}} 三 {{ dpf le-sqrt(n) |865589}} 17, 59, 863 {{ dpf le-sqrt(n) |865591}} {{ dpf le-sqrt(n) |865593}} 三 {{ dpf le-sqrt(n) |865597}} {{ dpf le-sqrt(n) |865599}} 3, 7, 47, 877
代码 结果 {{ dpf le-sqrt(n) |0}} 不超过sqrt(n)的不同素数因子错误:参数必须是非零整数 {{ dpf le-sqrt(n) |1031^2}} 不超过sqrt(n)的独立素因子错误:参数必须是绝对值<1031的非零整数 2 = 1062961
格式化的数字
代码 结果 {{ 直到sqrt(n)的不同素因子 |1000}} 不超过sqrt(n)的不同素数因子错误:参数必须是非零整数 {{ 直到sqrt(n)的不同素因子 |{{formatnum:1000|R}}} 2, 5
代码
<noinclude>{{documentation}}<-- A000040型 素数。 小于2^10=1024的172个素数是: n个(n) 1 2 2 3 3 5 4 7 5 11 6 13 7 17 8 19 9 23 (...) 165 977 166 983 167 991 168 997 169 1009 170 1013 171 1019 172 1021 下一个素数是: 173 1031 --></noinclude><includeonly>{{ifent|{{1|NAN}}} |{{#ifexpr:(abs({{1}}))<1031^2 |{{#ifexpr:(abs({{1}}))>1 |{{trim|<-- A000040型 素数。 小于2^10=1024的172个素数是: 2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97,101,103,107,109,113,127,131,137,139,149,151,157,163,167,173,179,181,191,193,197,199,211,223,227,229,233,239,241,251,257,263,269,271,277,281,283,293,307,311,313,317,331,337,347,349,353,359,367,373,379,383,389,397,401,409,419,421,431,433,439,443,449,457,461,463,467,479,487,491,49 9,503,509,521,523,541,547,557,563,569,571,577,587,593,599,601,607,613,617,619,631,641,643,647,653,659,661,673,677,683,691,701,709,719,727,733,739,743,751,757,761,769,773,787,797,809,811,821,823,827,829,839,853,857,859,863,877,881,883,887,907,911,919,929,937,941,947,953,967,971,977,983,991,997,1009,1013,1019,1021 1-->{{#ifexpr:((2*2)<=abs({{1}}))和not(abs(}{1}{)mod 2)|2{{sep|{{2|,}}}}{}}}<!-- 2-->{{#ifexpr:((3*3)<=abs({{1}}))和not(abs(}{1}{)mod 3)|3{{sep|{{2|,}}}}{}}}<-- 3-->{{#ifexpr:((5*5)<=abs({{1}}))和not(abs(}{1}{)mod 5)|5{{sep|{{2|,}}}}{}}}<-- 4-->{{#ifexpr:((7*7)<=abs({{1}}))和not(abs(}{1}{)mod 7)|7{{sep|{{2|,}}}}{}}}<-- 5-->{{#ifexpr:((11*11)<=abs({{1}}))和not(abs(}{1}{)mod 11)|11{{sep|{{2|,}}}}{}}}<-- 6-->{{#ifexpr:((13*13)<=abs({{1}}))和not(abs(}{1}{)mod 13)|13{{sep|{{2|,}}}}{}}}<-- 7-->{{#ifexpr:((17*17)<=abs({{{1}}))而不是(abs({{1}})mod 17)| 17{{{{sep |{{{2},{1}}}}}<-- 8-->{{#ifexpr:((19*19)<=abs({{1}}))和not(abs(}{1}{)mod 19)|19{{sep|{{2|,}}}}{}}}<-- 9-->{{#ifexpr:((23*23)<=abs({{1}}))和not(abs(}{1}{)mod 23)|23{{sep|{{2|,}}}}{}}}<-- 10-->{{#ifexpr:((29*29)<=abs({{1}}))和not(abs(}{1}{)mod 29)|29{{sep|{{2|,}}}}{}}}<-- 11-->{#ifexpr:((31*31)<=abs({{1}}))和not(abs(}{1}{)mod 31)|31{{sep|{{2|,}}}}{}}}<-- 12-->{{#ifexpr:((37*37)<=abs({{1}}))和not(abs(}{1}{)mod 37)|37{{sep|{{2|,}}}}{}}}-- 13-->{#ifexpr:((41*41)<=abs({{1}}))和not(abs(}{1}{)mod 41)|41{{sep|{{2|,}}}}{}}}-- 14-->{#ifexpr:((43*43)<=abs({{1}}))和not(abs(}{1}{)mod 43)|43{{sep|{{2|,}}}}{}}}-- 15-->{{#ifexpr:((47*47)<=abs({{1}}))和not(abs(}{1}{)mod 47)|47{{sep|{{2|,}}}}{}}}-- 16-->{#ifexpr:((53*53)<=abs({{1}}))和not(abs(}{1}{)mod 53)|53{{sep|{{2|,}}}}{}}}<-- 17-->{{#ifexpr:((59*59)<=abs({{1}}))和not(abs(}{1}{)mod 59)|59{{sep|{{2|,}}}}{}}}<-- 18-->{{#ifexpr:((61*61)<=abs({{{1}}))而不是(abs({{1}})mod 61)|61{{{{sep |{{{{2|,}-- 19-->{#ifexpr:((67*67)<=abs({{1}}))和not(abs(}{1}{)mod 67)|67{{sep|{{2|,}}}}{}}}-- 20-->{{#ifexpr:((71*71)<=abs({{1}}))和not(abs(}{1}{)mod 71)|71{{sep|{{2|,}}}}{}}}-- 21-->{#ifexpr:((73*73)<=abs({{1}}))和not(abs(}{1}{)mod 73)|73{{sep|{{2|,}}}}{}}}<-- 22-->{#ifexpr:((79*79)<=abs({{1}}))和not(abs(}{1}{)mod 79)|79{{sep|{{2|,}}}}{}}}<-- 23-->{#ifexpr:((83*83)<=abs({{1}}))和not(abs(}{1}{)mod 83)|83{{sep|{{2|,}}}}{}}}<-- 24-->{#ifexpr:((89*89)<=abs({{1}}))和not(abs(}{1}{)mod 89)|89{{sep|{{2|,}}}}{}}}<-- 25-->{#ifexpr:((97*97)<=abs({{1}}))和not(abs(}{1}{)mod 97)|97{{sep|{{2|,}}}}{}}} 26-->{#ifexpr:(101*101)<=abs({{1}}))和not(abs(}{1}{)mod 101)|101{{sep|{{2|,}}}}{}}}<-- 27-->{#ifexpr:((103*103)<=abs({{1}}))和not(abs(}{1}{)mod 103)|103{{sep|{{2|,}}}}{}}}<-- 28-->{#ifexpr:((107*107)<=abs({{1}}))和not(abs(}{1}{)mod 107)|107{{sep|{{2|,}}}}{}}}<-- 29-->{#ifexpr:((109*109)<=abs({{1}}))和not(abs(}{1}{)mod 109)|109{{sep|{{2|,}}}}{}}}<-- 30-->{{#ifexpr:((113*113)<=abs({{1}}))和not(abs(}{1}{)mod 113)|113{{sep|{{2|,}}}}{}}}<-- 31-->{#ifexpr:((127*127)<=abs({{1}}))和not(abs(}{1}{)mod 127)|127{{sep|{{2|,}}}}{}}}<-- -->{{#ifexpr:(131*131)<=abs({{1}})|<-- 32-->{{#ifexpr:((131*131)<=abs({{1}}))和not(abs(}{1}{)mod 131)|131{{sep|{{2|,}}}}{}}} 33-->{{#ifexpr:((137*137)<=abs({{{1}}))而不是(abs({{1}})mod 137)| 137{{{sep |{{{{2|,} 34-->{{#ifexpr:((139*139)<=abs({{1}}))和not(abs(}{1}{)mod 139)|139{{sep|{{2|,}}}}{}}} 35-->{#ifexpr:((149*149)<=abs({{1}}))和not(abs(}{1}{)mod 149)|149{{sep|{{2|,}}}}{}}}<-- 36-->{{#ifexpr:(151*151)<=abs({{1}}))和not(abs(}{1}{)mod 151)|151{{sep|{{2|,}}}}{}}} 37-->{#ifexpr:(157*157)<=abs({{1}}))和not(abs(}{1}{)mod 157)|157{{sep|{{2|,}}}}{}}} 38-->{#ifexpr:(163*163)<=abs({{1}}))和not(abs(}{1}{)mod 163)|163{{sep|{{2|,}}}}{}}} 39-->{#ifexpr:((167*167)<=abs({{1}}))和not(abs(}{1}{)mod 167)|167{{sep|{{2|,}}}}{}}}-- 40-->{{#ifexpr:(173*173)<=abs({{1}}))和not(abs(}{1}{)mod 173)|173{{sep|{{2|,}}}}{}}}<!-- 41-->{{#ifexpr:((179*179)<=abs({{1}}))和not(abs(}{1}{)mod 179)|179{{sep|{{2|,}}}}{}}} 42-->{{#ifexpr:((181*181)<=abs({{1}}))和not(abs(}{1}{)mod 181)|181{{sep|{{2|,}}}}{}}} 43-->{{#ifexpr:((191*191)<=abs({{1}}))和not(abs(}{1}{)mod 191)|191{{sep|{{2|,}}}}{}}} 44-->{{#ifexpr:((193*193)<=abs({{{1}}))而不是(abs({{1}})mod 193)| 193{{{{sep |{{{2},{1}}}}}<!-- 45-->{{#ifexpr:((197*197)<=abs({{1}}))和not(abs(}{1}{)mod 197)|197{{sep|{{2|,}}}}{}}} 46-->{{#ifexpr:((199*199)<=abs({{1}}))和not(abs(}{1}{)mod 199)|199{{sep|{{2|,}}}}}}}<-- 47-->{{#ifexpr:(211*211)<=abs({{1}}))和not(abs(}{1}{)mod 211)|211{{sep|{{2|,}}}}{}}} 48-->{{#ifexpr:((223*223)<=abs({{1}}))和not(abs(}{1}{)mod 223)|223{{sep|{{2|,}}}}{}}} 49-->{{#ifexpr:(227*227)<=abs({{1}}))和not(abs(}{1}{)mod 227)|227{{sep|{{2|,}}}}{}}} 50-->{#ifexpr:((229*229)<=abs({{1}}))和not(abs(}{1}{)mod 229)|229{{sep|{{2|,}}}}{}}}-- 51-->{{#ifexpr:(233*233)<=abs({{1}}))和not(abs(}{1}{)mod 233)|233{{sep|{{2|,}}}}{}}} 52-->{{#ifexpr:(239*239)<=abs({{1}}))和not(abs(}{1}{)mod 239)|239{{sep|{{2|,}}}}{}}}<-- 53-->{{#ifexpr:(241*241)<=abs({{1}}))和not(abs(}{1}{)mod 241)|241{{sep|{{2|,}}}}{}}}<-- 54-->{{#ifexpr:(251*251)<=abs({{1}}))和not(abs(}{1}{)mod 251)|251{{sep|{{2|,}}}}{}}}<-- A000040型 素数。 小于2^10=1024的172个素数是: 2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97,101,103,107,109,113,127,131,137,139,149,151,157,163,167,173,179,181,191,193,197,199,211,223,227,229,233,239,241,251,257,263,269,271,277,281,283,293,307,311,313,317,331,337,347,349,353,359,367,373,379,383,389,397,401,409,419,421,431,433,439,443,449,457,461,463,467,479,487,491,49 9,503,509,521,523,541,547,557,563,569,571,577,587,593,599,601,607,613,617,619,631,641,643,647,653,659,661,673,677,683,691,701,709,719,727,733,739,743,751,757,761,769,773,787,797,809,811,821,823,827,829,839,853,857,859,863,877,881,883,887,907,911,919,929,937,941,947,953,967,971,977,983,991,997,1009,1013,1019,1021 -->}}{{#ifexpr:(257*257)<=abs({{1}})|<-- 55-->{{#ifexpr:(257*257)<=abs({{1}}))和not(abs(}{1}{)mod 257)|257{{sep|{{2|,}}}}{}}} 56-->{{#ifexpr:((263*263)<=abs({{1}}))和not(abs(}{1}{)mod 263)|263{{sep|{{2|,}}}}{}}}<!-- 57-->{#ifexpr:((269*269)<=abs({{1}}))和not(abs(}{1}{)mod 269)|269{{sep|{{2|,}}}}{}}}<-- 58-->{#ifexpr:(271*271)<=abs({{1}}))和not(abs(}{1}{)mod 271)|271{{sep|{{2|,}}}}{}}}<-- 59-->{#ifexpr:((277*277)<=abs({{1}}))和not(abs(}{1}{)mod 277)|277{{sep|{{2|,}}}}{}}}<-- 60-->{#ifexpr:((281*281)<=abs({{1}}))和not(abs(}{1}{)mod 281)|281{{sep|{{2|,}}}}{}}}<-- 61-->{#ifexpr:((283*283)<=abs({{1}}))和not(abs(}{1}{)mod 283)|283{{sep|{{2|,}}}}{}}}<-- 62-->{#ifexpr:((293*293)<=abs({{1}}))和not(abs(}{1}{)mod 293)|293{{sep|{{2|,}}}}{}}}<-- 63-->{{#ifexpr:((307*307)<=abs({{1}}))和not(abs(}{1}{)mod 307)|307{{sep|{{2|,}}}}{}}}<-- 64-->{{#ifexpr:((311*311)<=abs({{1}}))和not(abs(}{1}{)mod 311)|311{{sep|{{2|,}}}}{}}}<-- 65-->{{#ifexpr:((313*313)<=abs({{1}}))和not(abs(}{1}{)mod 313)|313{{sep|{{2|,}}}}{}}}<-- 66-->{{#ifexpr:((317*317)<=abs({{1}}))和not(abs(}{1}{)mod 317)|317{{sep|{{2|,}}}}{}}}<-- 67-->{{#ifexpr:((331*331)<=abs({{1}}))和not(abs(}{1}{)mod 331)|331{{sep|{{2|,}}}}{}}}<-- 68-->{{#ifexpr:((337*337)<=abs({{1}}))和not(abs(}{1}{)mod 337)|337{{sep|{{2|,}}}}{}}}<-- 69-->{#ifexpr:((347*347)<=abs({{1}}))和not(abs(}{1}{)mod 347)|347{{sep|{{2|,}}}}{}}}<-- 70-->{{#ifexpr:((349*349)<=abs({{{1}}}))而不是(abs({{1}}})mod 349)|349{{{sep|{{{{2|,}-- 71-->{{#ifexpr:((353*353)<=abs({{1}}))和not(abs(}{1}{)mod 353)|353{{sep|{{2|,}}}}{}}}<-- 72-->{{#ifexpr:((359*359)<=abs({{1}}))和not(abs(}{1}{)mod 359)|359{{sep|{{2|,}}}}{}}}<-- 73-->{#ifexpr:((367*367)<=abs({{1}}))和not(abs(}{1}{)mod 367)|367{{sep|{{2|,}}}}{}}}<-- 74-->{#ifexpr:((373*373)<=abs({{1}}))和not(abs(}{1}{)mod 373)|373{{sep|{{2|,}}}}{}}}<-- 75-->{#ifexpr:((379*379)<=abs({{1}}))和not(abs(}{1}{)mod 379)|379{{sep|{{2|,}}}}{}}}<-- 76-->{{#ifexpr:((383*383)<=abs({{1}}))和not(abs(}{1}{)mod 383)|383{{sep|{{2|,}}}}{}}}<-- 77-->{#ifexpr:((389*389)<=abs({{1}}))和not(abs(}{1}{)mod 389)|389{{sep|{{2|,}}}}{}}}<-- 78-->{#ifexpr:((397*397)<=abs({{1}}))和not(abs(}{1}{)mod 397)|397{{sep|{{2|,}}}}{}}}<-- 79-->{#ifexpr:((401*401)<=abs({{1}}))和not(abs(}{1}{)mod 401)|401{{sep|{{2|,}}}}{}}}<-- 80-->{#ifexpr:((409*409)<=abs({{1}}))和not(abs(}{1}{)mod 409)|409{{sep|{{2|,}}}}{}}}<-- 81-->{{#ifexpr:((419*419)<=abs({{{1}}))而不是(abs({{1}})mod 419)|419{{{sep|{{{2},}{1}}}}}<-- 82-->{#ifexpr:((421*421)<=abs({{1}}))和not(abs(}{1}{)mod 421)|421{{sep|{{2|,}}}}{}}}<-- 83-->{#ifexpr:((431*431)<=abs({{1}}))和not(abs(}{1}{)mod 431)|431{{sep|{{2|,}}}}{}}}<-- 84-->{{#ifexpr:((433*433)<=abs({{1}}))和not(abs(}{1}{)mod 433)|433{{sep|{{2|,}}}}{}}}<-- 85-->{#ifexpr:((439*439)<=abs({{1}}))和not(abs(}{1}{)mod 439)|439{{sep|{{2|,}}}}{}}}<-- 86-->{#ifexpr:((443*443)<=abs({{1}}))和not(abs(}{1}{)mod 443)|443{{sep|{{2|,}}}}{}}}<-- 87-->{#ifexpr:((449*449)<=abs({{1}}))和not(abs(}{1}{)mod 449)|449{{sep|{{2|,}}}}{}}}<-- 88-->{#ifexpr:((457*457)<=abs({{1}}))和not(abs(}{1}{)mod 457)|457{{sep|{{2|,}}}}{}}}<-- 89-->{#ifexpr:((461*461)<=abs({{1}}))和not(abs(}{1}{)mod 461)|461{{sep|{{2|,}}}}{}}}<-- 90-->{#ifexpr:((463*463)<=abs({{1}}))和not(abs(}{1}{)mod 463)|463{{sep|{{2|,}}}}{}}}<-- 91-->{{#ifexpr:((467*467)<=abs({{1}}))和not(abs(}{1}{)mod 467)|467{{sep|{{2|,}}}}{}}}<-- 92-->{{#ifexpr:((479*479)<=abs({{{1}}}))而不是(abs({{1}}})mod 479)|479{{{sep|{{{{2|,}-- 93-->{#ifexpr:((487*487)<=abs({{1}}))和not(abs(}{1}{)mod 487)|487{{sep|{{2|,}}}}{}}}<-- 94-->{{#ifexpr:((491*491)<=abs({{1}}))和not(abs(}{1}{)mod 491)|491{{sep|{{2|,}}}}{}}}<-- 95-->{{#ifexpr:((499*499)<=abs({{1}}))和not(abs(}{1}{)mod 499)|499{{sep|{{2|,}}}}{}}}<-- 96-->{{#ifexpr:((503*503)<=abs({{1}}))和not(abs(}{1}{)mod 503)|503{{sep|{{2|,}}}}{}}}<-- 97-->{{#ifexpr:((509*509)<=abs({{1}}))和not(abs(}{1}{)mod 509)|509{{sep|{{2|,}}}}{}}}<-- A000040型 素数。 小于2^10=1024的172个素数是: 2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97,101,103,107,109,113,127,131,137,139,149,151,157,163,167,173,179,181,191,193,197,199,211,223,227,229,233,239,241,251,257,263,269,271,277,281,283,293,307,311,313,317,331,337,347,349,353,359,367,373,379,383,389,397,401,409,419,421,431,433,439,443,449,457,461,463,467,479,487,491,49 9,503,509,521,523,541,547,557,563,569,571,577,587,593,599,601,607,613,617,619,631,641,643,647,653,659,661,673,677,683,691,701,709,719,727,733,739,743,751,757,761,769,773,787,797,809,811,821,823,827,829,839,853,857,859,863,877,881,883,887,907,911,919,929,937,941,947,953,967,971,977,983,991,997,1009,1013,1019,1021 -->}}{{#ifexpr:(521*521)<=abs({{1}})|<-- 98-->{#ifexpr:((521*521)<=abs({{1}}))和not(abs(}{1}{)mod 521)|521{{sep|{{2|,}}}}{}}}<-- 99-->{#ifexpr:((523*523)<=abs({{1}}))和not(abs(}{1}{)mod 523)|523{{sep|{{2|,}}}}{}}}<-- 100-->{{#ifexpr:((541*541)<=abs({{1}}))和not(abs(}{1}{)mod 541)|541{{sep|{{2|,}}}}{}}}<-- 101-->{{#ifexpr:((547*547)<=abs({{1}}))和not(abs(}{1}{)mod 547)|547{{sep|{{2|,}}}}{}}}<-- 102-->{#ifexpr:((557*557)<=abs({{1}}))和not(abs(}{1}{)mod 557)|557{{sep|{{2|,}}}}{}}}<-- 103-->{{#ifexpr:((563*563)<=abs({{1}}))和not(abs(}{1}{)mod 563)|563{{sep|{{2|,}}}}{}}}<-- 104-->{{#ifexpr:((569*569)<=abs({{1}}))和not(abs(}{1}{)mod 569)|569{{sep|{{2|,}}}}{}}}<-- 105-->{#ifexpr:((571*571)<=abs({{1}}))和not(abs(}{1}{)mod 571)|571{{sep|{{2|,}}}}{}}}<-- 106-->{{#ifexpr:((577*577)<=abs({{1}}))和not(abs(}{1}{)mod 577)|577{{sep|{{2|,}}}}{}}}<-- 107-->{{#ifexpr:((587*587)<=abs({{{1}}}))而不是(abs({{1}}})mod 587)|587{{{sep|{{{{2|,}-- 108-->{#ifexpr:((593*593)<=abs({{1}}))和not(abs(}{1}{)mod 593)|593{{sep|{{2|,}}}}{}}}<-- 109-->{{#ifexpr:((599*599)<=abs({{1}}))和not(abs(}{1}{)mod 599)|599{{sep|{{2|,}}}}{}}}<-- 110-->{{#ifexpr:((601*601)<=abs({{1}}))和not(abs(}{1}{)mod 601)|601{{sep|{{2|,}}}}{}}}<-- 111-->{{#ifexpr:(607*607)<=abs({{1}}))和not(abs(}{1}{)mod 607)|607{{sep|{{2|,}}}}{}}}<-- 112-->{{#ifexpr:((613*613)<=abs({{1}}))和not(abs(}{1}{)mod 613)|613{{sep|{{2|,}}}}{}}}<-- 113-->{{#ifexpr:((617*617)<=abs({{1}}))和not(abs(}{1}{)mod 617)|617{{sep|{{2|,}}}}{}}}<-- 114-->{{#ifexpr:((619*619)<=abs({{1}}))和not(abs(}{1}{)mod 619)|619{{sep|{{2|,}}}}{}}}<-- 115-->{#ifexpr:((631*631)<=abs({{1}}))和not(abs(}{1}{)mod 631)|631{{sep|{{2|,}}}}{}}}<-- 116-->{{#ifexpr:((641*641)<=abs({{1}}))和not(abs(}{1}{)mod 641)|641{{sep|{{2|,}}}}{}}}<-- 117-->{{#ifexpr:((643*643)<=abs({{1}}))和not(abs(}{1}{)mod 643)|643{{sep|{{2|,}}}}{}}}<-- 118-->{{#ifexpr:((647*647)<=abs({{{1}}}))而不是(abs({{1}}})mod 647)|647{{{sep|{{{{2|,}-- 119-->{{#ifexpr:((653*653)<=abs({{1}}))和not(abs(}{1}{)mod 653)|653{{sep|{{2|,}}}}{}}}<-- 120-->{#ifexpr:((659*659)<=abs({{1}}))和not(abs(}{1}{)mod 659)|659{{sep|{{2|,}}}}{}}}<-- 121-->{{#ifexpr:((661*661)<=abs({{1}}))和not(abs(}{1}{)mod 661)|661{{sep|{{2|,}}}}{}}}<-- 122-->{{#ifexpr:((673*673)<=abs({{1}}))和not(abs(}{1}{)mod 673)|673{{sep|{{2|,}}}}{}}}<-- 123-->{{#ifexpr:((677*677)<=abs({{1}}))和not(abs(}{1}{)mod 677)|677{{sep|{{2|,}}}}{}}}<-- 124-->{{#ifexpr:((683*683)<=abs({{1}}))和not(abs(}{1}{)mod 683)|683{{sep|{{2|,}}}}{}}}<-- 125-->{#ifexpr:((691*691)<=abs({{1}}))和not(abs(}{1}{)mod 691)|691{{sep|{{2|,}}}}{}}}<-- 126-->{{#ifexpr:((701*701)<=abs({{1}}))和not(abs(}{1}{)mod 701)|701{{sep|{{2|,}}}}{}}}<-- 127-->{{#ifexpr:((709*709)<=abs({{1}}))和not(abs(}{1}{)mod 709)|709{{sep|{{2|,}}}}{}}}<-- 128-->{{#ifexpr:((719*719)<=abs({{1}}))和not(abs(}{1}{)mod 719)|719{{sep|{{2|,}}}}{}}}<-- 129-->{{#ifexpr:((727*727)<=abs({{{1}}))而不是(abs({{1}})mod 727)|727{{{sep|{{{{2|,}-- 130-->{#ifexpr:((733*733)<=abs({{1}}))和not(abs(}{1}{)mod 733)|733{{sep|{{2|,}}}}{}}}<-- 131-->{{#ifexpr:((739*739)<=abs({{1}}))和not(abs(}{1}{)mod 739)|739{{sep|{{2|,}}}}{}}}<-- 132-->{{#ifexpr:((743*743)<=abs({{1}}))和not(abs(}{1}{)mod 743)|743{{sep|{{2|,}}}}{}}}<-- 133-->{#ifexpr:((751*751)<=abs({{1}}))和not(abs(}{1}{)mod 751)|751{{sep|{{2|,}}}}{}}}<-- 134-->{{#ifexpr:((757*757)<=abs({{1}}))和not(abs(}{1}{)mod 757)|757{{sep|{{2|,}}}}{}}}<-- 135-->{{#ifexpr:((761*761)<=abs({{1}}))和not(abs(}{1}{)mod 761)|761{{sep|{{2|,}}}}{}}}<-- A000040型 素数。 小于2^10=1024的172个素数是: 2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97,101,103,107,109,113,127,131,137,139,149,151,157,163,167,173,179,181,191,193,197,199,211,223,227,229,233,239,241,251,257,263,269,271,277,281,283,293,307,311,313,317,331,337,347,349,353,359,367,373,379,383,389,397,401,409,419,421,431,433,439,443,449,457,461,463,467,479,487,491,49 9,503,509,521,523,541,547,557,563,569,571,577,587,593,599,601,607,613,617,619,631,641,643,647,653,659,661,673,677,683,691,701,709,719,727,733,739,743,751,757,761,769,773,787,797,809,811,821,823,827,829,839,853,857,859,863,877,881,883,887,907,911,919,929,937,941,947,953,967,971,977,983,991,997,1009,1013,1019,1021 -->}}{{#ifexpr:(769*769)<=abs({{1}})|<-- 136-->{{#ifexpr:((769*769)<=abs({{1}}))和not(abs(}{1}{)mod 769)|769{{sep|{{2|,}}}}{}}}<-- 137-->{{#ifexpr:((773*773)<=abs({{1}}))和not(abs(}{1}{)mod 773)|773{{sep|{{2|,}}}}{}}}<-- 138-->{{#ifexpr:((787*787)<=abs({{1}}))和not(abs(}{1}{)mod 787)|787{{sep|{{2|,}}}}{}}}<-- 139-->{{#ifexpr:((797*797)<=abs({{1}}))和not(abs(}{1}{)mod 797)|797{{sep|{{2|,}}}}{}}}<-- 140-->{{#ifexpr:((809*809)<=abs({{1}}))和not(abs(}{1}{)mod 809)|809{{sep|{{2|,}}}}{}}}<-- 141-->{{#ifexpr:((811*811)<=abs({{1}}))和not(abs(}{1}{)mod 811)|811{{sep|{{2|,}}}}{}}}<-- 142-->{{#ifexpr:((821*821)<=abs({{1}}))和not(abs(}{1}{)mod 821)|821{{sep|{{2|,}}}}{}}}<-- 143-->{{#ifexpr:((823*823)<=abs({{1}}))和not(abs(}{1}{)mod 823)|823{{sep|{{2|,}}}}{}}}<-- 144-->{{#ifexpr:((827*827)<=abs({{{1}}}))而不是(abs({{1}}})mod 827)|827{{{sep|{{{{2|,}-- 145-->{{#ifexpr:((829*829)<=abs({{1}}))和not(abs(}{1}{)mod 829)|829{{sep|{{2|,}}}}{}}}<-- 146-->{{#ifexpr:((839*839)<=abs({{1}}))和not(abs(}{1}{)mod 839)|839{{sep|{{2|,}}}}{}}}<-- 147-->{{#ifexpr:((853*853)<=abs({{1}}))和not(abs(}{1}{)mod 853)|853{{sep|{{2|,}}}}{}}}<-- 148-->{{#ifexpr:((857*857)<=abs({{1}}))和not(abs(}{1}{)mod 857)|857{{sep|{{2|,}}}}{}}}<-- 149-->{{#ifexpr:((859*859)<=abs({{1}}))和not(abs(}{1}{)mod 859)|859{{sep|{{2|,}}}}{}}}<-- 150-->{#ifexpr:((863*863)<=abs({{1}}))和not(abs(}{1}{)mod 863)|863{{sep|{{2|,}}}}{}}}<-- 151-->{{#ifexpr:((877*877)<=abs({{1}}))和not(abs(}{1}{)mod 877)|877{{sep|{{2|,}}}}{}}}<-- 152-->{{#ifexpr:((881*881)<=abs({{1}}))和not(abs(}{1}{)mod 881)|881{{sep|{{2|,}}}}{}}}<-- 153-->{{#ifexpr:((883*883)<=abs({{1}}))和not(abs(}{1}{)mod 883)|883{{sep|{{2|,}}}}{}}}<-- 154-->{{#ifexpr:((887*887)<=abs({{1}}))和not(abs(}{1}{)mod 887)|887{{sep|{{2|,}}}}{}}}<-- 155-->{{#ifexpr:((907*907)<=abs({{{1}}))而不是(abs({{1}})mod 907)|907{{{sep|{{{{2|,}-- 156-->{{#ifexpr:((911*911)<=abs({{1}}))和not(abs(}{1}{)mod 911)|911{{sep|{{2|,}}}}{}}}-- 157-->{{#ifexpr:((919*919)<=abs({{1}}))和not(abs(}{1}{)mod 919)|919{{sep|{{2|,}}}}{}}}<-- 158-->{{#ifexpr:((929*929)<=abs({{1}}))和not(abs(}{1}{)mod 929)|929{{sep|{{2|,}}}}{}}}<-- 159-->{{#ifexpr:((937*937)<=abs({{1}}))和not(abs(}{1}{)mod 937)|937{{sep|{{2|,}}}}{}}}<-- 160-->{{#ifexpr:((941*941)<=abs({{1}}))和not(abs(}{1}{)mod 941)|941{{sep|{{2|,}}}}{}}}<-- 161-->{{#ifexpr:((947*947)<=abs({{1}}))和not(abs(}{1}{)mod 947)|947{{sep|{{2|,}}}}{}}}<-- 162-->{{#ifexpr:((953*953)<=abs({{1}}))和not(abs(}{1}{)mod 953)|953{{sep|{{2|,}}}}{}}}<-- 163-->{{#ifexpr:((967*967)<=abs({{1}}))和not(abs(}{1}{)mod 967)|967{{sep|{{2|,}}}}{}}}<-- 164-->{{#ifexpr:((971*971)<=abs({{1}}))和not(abs(}{1}{)mod 971)|971{{sep|{{2|,}}}}{}}}<-- 165-->{{#ifexpr:((977*977)<=abs({{1}}))和not(abs(}{1}{)mod 977)|977{{sep|{{2|,}}}}{}}}<-- 166-->{{#ifexpr:((983*983)<=abs({{{1}}))而不是(abs({{1}})mod 983)|983{{{sep|{{{{2|,}-- 167-->{{#ifexpr:((991*991)<=abs({{1}}))和not(abs(}{1}{)mod 991)|991{{sep|{{2|,}}}}{}}}<-- 168-->{{#ifexpr:(997*997)<=abs({{1}}))和not(abs(}{1}{)mod 997)|997{{sep|{{2|,}}}}{}}}-- 169-->{{#ifexpr:((1009*1009)<=abs({{1}}))和not(abs(}{1}{)mod 1009)|1009{{sep|{{2|,}}}}{}}}<-- 170-->{{#ifexpr:((1013*1013)<=abs({{1}}))和not(abs(}{1}{)mod 1013)|1013{{sep|{{2|,}}}}{}}}<-- 171-->{{#ifexpr:((1019*1019)<=abs({{1}}))和not(abs(}{1}{)mod 1019)|1019{{sep|{{2|,}}}}{}}}<-- 172-->{{#ifexpr:((1021*1021)<=abs({{1}}))和not(abs(}{1}{)mod 1021)|1021{{sep|{{2|,}}}}{}}}<-- -->}}<!-- -->|{{{sep|{{2|,}}}}<-- -->}} |{{#ifeq:{{1}}|0 |{{error|Distinct prime factors to sqrt(n)error:参数必须是非零整数}} | <!-- 空列表(无素因子)--> }} }} |{{error|到sqrt(n)的不同素因子错误:参数必须是绝对值<1031{{^|2}}{{=}}{#expr:1031^2}}}}的非零整数 }} |{{error|Distinct prime factors to sqrt(n)error:参数必须是非零整数}} }}</仅包括>
另请参见
-
{{ 直到sqrt(n)的不同素因子 }} 或 {{ dpf le-sqrt(n) }} -
{{ 不同的非平凡素因子 }} 或 {{ dpf灯号 }} -
{{ 不同的素因子 }} 或 {{ 数字功率因数 }} -
{{ 不同素因子的个数 }} 或 {{ 小欧米茄 }} -
{{ 不同素因子之和 }} 或 {{ 草皮 }} -
{{ 不同素因子的乘积 }} 或 {{ 无平方核 }} 或 {{ 激进派 }} 或 {{ 拉德 }}
-
{{ 多重性 }}
-
{{ 素因子(具有多重性)高达sqrt(n) }} 或 {{ 最大功率平方(n) }} -
{{ 非平凡素因子(具有多重性) }} 或 {{ 最大功率因数 }} -
{{ 素因子(具有多重性) }} 或 {{ 最大功率因数 }} 或 {{ 因式分解 }} -
{{ 素因子数(具有多重性) }} 或 {{ 大欧米茄 }} -
{{ 素因子之和(具有多重性) }} 或 {{ sopfr公司 }} 或 {{ 整数日志 }} -
{{ 素因子的乘积(具有多重性) }} (必须归还 {{ 防抱死制动系统 |n} } ,的 绝对值 属于 n个 )
-
{{ 欧拉φ }} 或 {{ 托蒂恩 }} -
{{ Dedekind磅/平方英寸 }}
-
{{ 除数 }} 或 {{ 西格玛0 }} 或 {{ 陶 }} -
{{ 除数之和 }} 或 {{ 西格玛1 }} 或 {{ 西格玛 }} (参见。 {{ 除数函数 }} 或 {{ 西格玛k }} ,带有 k个 = 1 (默认值)) -
{{ 除数函数 }} 或 {{ 西格玛k }} (用于 k个 ≠ 0 )
外部链接
安德鲁·霍奇斯, 用于分解的Java Applet -
http://factordb.com/