W

威尔·尼科尔斯

主签名列表

下面是前400人的名单素数签名.

这个OEIS列显示属于指定素数签名的整数的整数序列条目(如果有)的在线百科全书。例如,第8行的素数签名是{1,1,1},因此它链接到OEIS序列A007304型,它列出素数签名为{1,1,1}的整数。

带有星号(*)的较小条目表示OEIS中的不精确匹配:虽然此处显示的前100个左右的术语与列出的素数签名匹配,但后面的术语包括具有不同素数签名的整数。

标记的列弗斯特显示具有该行主签名(OEIS)的最小整数A025487号).

类似地,列第二个显示第二具有该行素数签名的最小整数(OEISA077560号).

(对于具有给定素数签名的其他整数-第三个、第四个等等-请参见主签名表页.)

这个主要事实。列显示与素数签名对应的素数分解,其中每个字母(p,代表一个不同的质数。

这个第一个奇数列显示第一个古怪的具有该行质数签名的整数。此列中的数字是OEIS中数字的重新排序A147516号.

这个警察局列列出了P雾凇Divisors公司(OEISA036041型)例如,{1,2,3}有6个素数(1+2+3)。

这个测向列列出了D不完全素数F演员(OEIA061394号.)

最后差异列列出具有此素数签名的最小整数与具有前一行主签名的最小整数之间的差异(OEIS电话:178799.)

在浏览器中打破4个部分来适应窗口是更好的。

 

主要签名清单,第1部分

#OEIS主签名弗斯特第二个主要事实。第一个奇数P DD F公司差异
0-{}1-p0100-
1A000040号{1}2p 111
2A001248号{2}49p29212
A006881号{1,1}610p 15222
4A030078型{3}827p2712
5A054753号{1,2}1218p24524
6A030514型{4}1681p481414
7A065036号{1,3}2440p135428
8A007304型{1,1,1}3042pr 1056
9A050997型{5}32243p5243512
10A085986号{2,2}36100p22225424
11A1739号{1,4}4880p44055212
12A085987号{1,1,2}6084p2r315412
13A030516{6}64729p6729614
14邮编:A143610{2,3}72108p2675528
15邮编:A178740{1,5}96160p512156224
16-{1,1,3}120168pr945524
17A092759号{7}1282187p72187718
18A030633型*{2,4}144324p4220256216
19-{1,2,2}180252p22r1575536
20A030632号*{1,6}192320p636457212
21A046386号{1,1,1,1}210330prs 11554418
22邮编:A162142{3,3}2161000p3375626
23-{1,1,4}240336p4r2835624
24-{8}2566561p865618116
25-{2,5}288800p5260757232
26邮编:A163569{1,2,3}360504p2r4725672
27-{1,7}384640p7109358224
28-{1,1,1,2}420630p2rs34655436
29-{3,4}432648p4101257212
30-{1,1,5}480672p5r8505748
31-{9}51219683p9196839132
32A137484号*{2,6}5761600p62182258264
33-{1,2,4}7201008p42r141757144
34-{1,8}7681280p8328059248
35-{1,1,1,3}8401320prs103956472
36-{3,5}8641944p5303758224
37A162143{2,2,2}9001764p22r211025636
38-{1,1,6}9601344p6r25515860
39A030629号{10}102459049p105904910164
40-{1,3,3}10801512pr23625756
41-{2,7}11523200p72546759272
42-{1,1,2,2}12601980p22rs1732564108
43A137488号*{4,4}129610000p44506258236
44-{1,2,5}14402016p52r425258144
45-{1,9}15362560p99841510296
46-{1,1,1,4}16802640p4rs3118574144
47-{3,6}17285832p6911259248
48-{2,2,3}18002700p2r233075772
49-{1,1,7}19202688p7r765459120
50A079395号{11}2048177147p11177147111128
51-{1,3,4}21603024p4r708758112
52-{2,8}23046400p82164025102144
53A046387号{1,1,1,1,1}23102730prst 15015556
54{1,1,2,3}25203780p2rs5197574210
55{4,5}25923888p541518759272
56{1,2,6}28804032p62r1275759288
57{1,10}30725120p10295245112192
58{1,1,1,5}33605280p5rs9355584288
59{3,7}345616000p727337510296

主要签名清单,第2部分

#主签名弗斯特第二个主要事实。第一个奇数P DD F公司差异
60{2,2,4}36007056p42r2992258144
61{1,1,8}38405376p8r22963510240
62{12}4096531441p12531441121256
63{1,3,5}43206048p5r2126259224
64{2,9}460812800p92492075112288
65{1,2}46205460p2rst450456512
66{1,1,2,4}50407920p42rs15592584420
67{4,6}518411664p64455625102144
68{2,3,3}54009000pr21653758216
69{1,2,7}57608064p72r38272510360
70{1,11}614410240p11885735122384
71{1,2,2,2}63008820p22r2s12127574156
72{1,4,4}64809072p44r3543759180
73{1,1,1,6}672010560p6rs28066594240
74{3,8}691232000p8820125112192
75{2,2,5}720014112p52r22976759288
76{1,1,3,3}756011880prs25987584360
77{1,1,9}768010752p9r68890511120
78{5,5}7776100000p5575937510296
79{13}81921594323p131594323131416
80{1,3,6}864012096p6r63787510448
81{2,10}921625600p1021476225122576
82{1,1,1,1,3}924010920prst1351357524
83{1,1,2,5}1008015840p52rs46777594840
84{4,7}1036834992p741366875112288
85{2,3,4}1080016200p4r24961259432
86{1,2,8}1152016128p82r114817511720
87{1,12}1228820480p122657205132768
88{1,2,2,3}1260017640p2r2s36382584312
89{1,4,5}1296018144p54r106312510360
90{1,1,1,7}1344021120p7rs841995104480
91{3,9}1382464000p92460375122384
92{1,1,1,2,2}1386016380p22rst2252257536
93{2,2,6}1440028224p62r289302510540
94{1,1,3,4}1512022680p4rs77962594720
95{1,1,10}1536021504p10r206671512240
96{5,6}1555223328p652278125112192
97{14}163844782969p144782969141832
98{1,3,7}1728024192p7r191362511896
99{2,11}1843251200p11244286751321152

主要签名清单,第3部分

#主签名弗斯特第二个主要事实。P DD F公司差异
100{1,1,1,1,4}1848021840p4rst8548
101{1,1,2,6}2016031680p62rs1041680
102{4,8}20736104976p84122576
103{2,3,5}2160036000p5r210864
104{1,2,9}2304032256p92r121440
105{1,13}2457640960p131421536
106{1,2}2520035280p42r2s94624
107{1,4,6}2592036288p64r11720
108{1,1,1,8}2688042240p8rs114960
109{3,3,3}2700074088pr9120
110{3,10}27648128000p10132648
111{1,1,1,2,3}2772032760p2rst8572
112{2,2,7}2880056448p72r2111080
113{1,1,1,1,1}3003039270prst美国 661230
114{1,1,3,5}3024047520p5rs104210
115{1,1,11}3072043008p11r13480
116{5,7}3110469984p75122384
117{2,4,4}3240063504p44r2101296
118{15}3276814348907p15151368
119{1,3,8}3456048384p8r121792
120{2,12}36864102400p1221422304
121{1,1,1,1,5}3696043680p5rst9596
122{1,2,3,3}3780052920pr2s94840
123{1,5,5}3888054432p55r111080
124{1,1,2,7}4032063360p72rs1141440
125{4,9}41472314928p941321152
126{2,3,6}4320072000p6r2111728
127{2,2,2,2}44100108900p22r2s284900
128{1,1,4,4}4536071280p44rs1041260
129{1,2,10}4608064512p102r13720
130{6,6}466561000000p66122576
131{1,14}4915281920p141522496
132{1,2,2,5}5040070560p52r2s1041248
133{1,4,7}5184072576p74r121440
134{1,1,1,9}5376084480p9rs1241920
135{3,3,4}5400081000p4r10240
136{3,11}55296256000p111421296
137{1,1,1,2,4}5544065520p42rst95144
138{2,2,8}57600112896p82r2122160
139{1,1,1,1,1,2}6006078540p2rst美国762460
140{1,1,3,6}6048095040p6rs114420
141{1,1,12}6144086016p12r14960
142{5,8}62208209952p85132768
143{2,4,5}6480097200p54r2112592
144{16}6553643046721p16161736
145{1,3,9}6912096768p9r133584
146{1,2}6930081900p22r2st85180
147{2,13}73728204800p1321524428
148{1,1,1,1,6}7392087360p6rst105192
149{1,2,3,4}75600105840p4r2s1041680
150{1,5,6}77760108864p65r122160
151{1,1,2,8}80640126720p82rs1242880
152{4,10}82944640000p1041422304
153{1,1,1,3,3}8316098280prst95216
154{2,3,7}86400144000p7r2123240
155{2,2,2,3}88200132300p2r2s2941800
156{1,1,4,5}90720136080p54rs1142520
157{1,2,11}92160129024p112r141440
158{6,7}93312139968p761321152
159{1,15}98304163840p151624992
160{1,2,2,6}100800141120p62r2s1142496
161{1,4,8}103680145152p84r132880
162{1,1,1,10}107520168960p10rs1343840
163{3,3,5}108000243000p5r11480
164{3,12}110592512000p121522592
165{1,1,1,2,5}110880131040p52rst105288
166{2,2,9}115200225792p92r2134320
167{1,1,1,1,1,3}120120157080prst美国864920
168{1,3}120960190080p7rs124840
169{1,1,13}122880172032p13r151920
170{5,9}124416629856p951421536
171{2,4,6}129600254016p64r2125184
172{17}131072129140163p171711472
173{1,3,10}138240193536p10r147168
174{1,1,2,2,3}138600163800p2r2st95360
175{2,14}147456409600p1421628856
176{1,1,1,1,7}147840174720p7rst115384
177{1,2,3,5}151200211680p5r2s1143360
178{1,5,7}155520217728p75r134320
179{1,1,2,9}161280253440p92rs1345760
180{3,4,4}162000270000p44r11720
181{4,11}1658881280000p1141523888
182{1,1,1,3,4}166320196560p4rst105432
183{2,3,8}172800288000p8r2136480
184{2,2,2,4}176400396900p42r2s21043600
185{1,1,1,1,2,2}180180235620p22rst美国863780
186{1,1,4,6}181440285120p64rs1241260
187{1,2,12}184320258048p122r152880
188{6,8}186624419904p861422304
189{1,3,3,3}189000297000prs1042376
190{2,5,5}194400381024p55r2125400
191{1,16}196608327680p161722208
192{1,2,2,7}201600282240p72r2s1244992
193{1,4,9}207360290304p94r145760
194{1,1,1,11}215040337920p11rs1447680
195{3,3,6}216000592704p6r12960
196{3,13}2211841024000p131625184
197{1,1,1,2,6}221760262080p62rst115576
198{1,2,4,4}226800317520p44r2s1145040
199{2,2,10}230400451584p102r2143600
200{1,6,6}233280326592p66r132880
201{1,1,1,1,1,4}240240314160p4rst美国966960
202{1,1,3,8}241920380160p8rs1341680
203{1,1,14}245760344064p14r163840
204{5,10}2488321889568p1051523072
205{2,4,7}259200508032p74r21310368
206{18}262144387420489p181812944
207{2,2,3,3}264600441000pr2s21042456
208{1,5}272160427680p55rs1247560
209{1,3,11}276480387072p11r154320
210{1,1,2,2,4}277200327600p42r2st105720
211{7,7}27993610000000p771422736
212{2,15}294912819200p15217214976
213{1,1,1,1,8}295680349440p8rst125768
214{1,2,3,6}302400423360p6r2s1246720
215{1,5,8}311040435456p85r148640
216{1,1,2,10}322560506880p102rs14411520
217{3,4,5}324000486000p54r121440
218{4,12}3317762560000p1241627776
219{1,1,1,3,5}332640393120p5rst115864
220{2,3,9}345600576000p9r21412960
221{2,2,2,5}352800871200p52r2s21147200
222{1,1,1,1,2,3}360360471240p2rst美国967560
223{1,1,4,7}362880570240p74rs1342520
224{1,2,13}368640516096p132r165760
225{6,9}3732481259712p961524608
226{1,3,3,4}378000567000p4rs1144752
227{2,5,6}388800583200p65r21310800
228{1,17}393216655360p171824416
229{1,2,2,8}403200564480p82r2s1349984
230{1,4,10}414720580608p104r1511520
231{1,1,2,3,3}415800491400pr2st1051080
232{1,1,1,12}430080675840p12rs15414280
233{3,3,7}4320001185408p7r131920
234{3,14}4423682048000p1417210368
235{1,1,1,2,7}443520524160p72rst1251152
236{1,2,4,5}453600635040p54r2s12410080
237{2,2,11}460800903168p112r2157200
238{1,6,7}466560653184p76r145760
239{1,1,1,1,1,5}480480628320p5rst美国10613920
240{1,1,3,9}483840760320p9rs1443360
241{1,2,2,2}485100573300p22r2s2t951260
242{1,1,15}491520688128p15r176420
243{5,11}4976645668704p1151626144
244{1,1,1,4,4}498960589680p44rst1151296
245{1,1,1,1,1,1}510510570570prst美国 7711550
246{2,4,8}5184001016064p84r2147890
247{19}5242881162261467p191915888
248{2,2,3,4}529200793800p4r2s21144912
249{1,1,5,6}544320816480p65rs13415120
250{1,3,12}552960774144p12r168640
251{1,1,2,2,5}554400655200p52r2st1151440
252{7,8}559872839808p871525472
253{2,16}5898241638400p16218229952
254{1,1,1,1,9}591360698880p9rst1351536
255{1,2,3,7}604800846720p7r2s13413440
256{1,5,9}622080870912p95r1517280
257{1,1,2,11}6451201013760p112rs15423040
258{3,4,6}6480001080000p64r132880
259{4,13}6635525120000p13417215552
260{1,1,1,3,6}665280786240p6rst1251728
261{2,3,10}6912001152000p10r21525920
262{2,2,2,6}7056001742400p62r2s212414400
263{1,1,1,1,2,4}720720942480p42rst美国10615120
264{1,1,4,8}7257601140480p84rs1445040
265{1,2,14}7372801032192p142r1711520
266{6,10}7464963779136p1061629216
267{1,3,3,5}7560001188000p5rs1249504
268{2,5,7}7776001524096p75r21421600
269{1,18}7864321310720p181928832
270{1,2,2,9}8064001128960p92r2s14419968
271{4,4,4}8100003111696p44r4123600
272{1,4,11}8294401161216p114r1619440
273{1,1,2,3,4}831600982800p4r2st1152160
274{1,1,1,13}8601601351680p13rs16428560
275{3,3,8}8640002370816p8r143840
276{3,15}8847364096000p1518220736
277{1,1,1,2,8}8870401048320p82rst1352304
278{1,1,1,2,2}9009001178100p22r2st美国9613860
279{1,2,4,6}9072001270080p64r2s1346300
280{2,2,12}9216001806336p122r21614400
281{1,6,8}9331201306368p86r1511520
282{1,1,1,1,1,6}9609601256640p6rst美国11627840
283{1,1,3,10}9676801520640p10rs1546720
284{1,2,2,2,3}9702001146600p2r2s2t1052520
285{3,5,5}9720002667168p55r131800
286{1,1,16}9830401376256p16r1811040
287{5,12}99532812800000p12517212288
288{1,1,1,4,5}9979201179360p54rst1252592
289{1,1,1,1,1,1,2}10210201141140p2rst美国8723100
290{2,4,9}10368002032128p94r21515780
291{20}10485763486784401p2020111776
292{2,2,3,5}10584001764000p5r2s21249824
293{1,1,1,1,3,3}10810801413720prst美国10622680
294{1,1,5,7}10886401710720p75rs1447560
295{1,3,13}11059201548288p13r1717280
296{1,1,2,2,6}11088001310400p62r2st1252880
297{7,9}11197442519424p9716210944
298{1,3,4,4}11340001782000p44rs12414256
299{2,6,6}11664002286144p66r21432400
300{2,17}11796483276800p17219213248
301{1,1,1,1,10}11827201397760p10rst1453072
302{1,2,3,8}12096001693440p8r2s14426880
303{1,5,10}12441601741824p105r1634560
304{1,1,2,12}12902402027520p122rs16446080
305{3,4,7}12960002160000p74r145760
306{2,3,3,3}13230001852200prs211427000
307{4,14}132710410240000p1441824104
308{1,1,1,3,7}13305601572480p7rst1353456
309{1,2,5,5}13608001905120p55r2s13430240
310{2,3,11}13824002304000p11r21621600
311{1,7,7}13996801959552p77r1517280
312{2,2,2,7}14112003484800p72r2s213411520
313{1,1,1,1,2,5}14414401884960p52rst美国11630240
314{1,1,4,9}14515202280960p94rs15410080
315{1,2,15}14745602064384p152r1823040
316{11,6}149299211337408p11617218432
317{1,3,3,6}15120002376000p6rs13419008
318{2,5,8}15552003048192p85r21543200
319{1,19}15728642621440p1920217664
320{2,2,4,4}15876003920400p44r2s212414736
321{1,2,2,10}16128002257920p102r2s15425200
322{4,4,5}16200002430000p54r4137200
323{1,1,6,6}16329602566080p66rs14412960
324{1,4,12}16588802322432p124r1725920
325{1,1,2,3,5}16632001965600p5r2st1254320
326{8,8}1679616100000000p8816216416
327{1,1,1,14}17203202703360p14rs17440704
328{3,3,9}17280004741632p9r157680
329{3,16}17694728192000p1619241472
330{1,1,1,2,9}17740802096640p92rst1454608
331{1,1,1,2,2,3}18018002356200p2r2st美国10627720
332{1,2,4,7}18144002540160p74r2s14412600
333{2,2,13}18432003612672p132r21728800
334{1,6,9}18662402612736p96r1623040
335{1,1,1,1,1,7}19219202513280p7rst美国12655680
336{1,1,3,11}19353603041280p11rs16413440
337{1,2,2,2,4}19404002293200p42r2s2t1155040
338{3,5,6}19440002916000p65r143600
339{1,1,17}19660802752512p17r1922080
340{5,13}199065625600000p13518224576
341{1,1,1,4,6}19958402358720p64rst1355184
342{1,1,1,1,1,1,3}20420402282280prst美国9746200
343{2,4,10}20736004064256p104r21631560
344{1,1,3,3,3}20790002457000prst1155400
345{21}209715210460353203p2121118152
346{2,2,3,6}21168003528000p6r2s213419648
347{1,1,1,1,3,4}21621602827440p4rst美国11645360
348{1,1,5,8}21772803421440p85rs15415120
349{1,3,14}22118403096576p14r1834560
350{1,1,2,2,7}22176002620800p72r2st1355760
351{7,10}22394887558272p10717221888
352{1,3,4,5}22680003402000p54rs13428512
353{2,6,7}23328003499200p76r21564800
354{2,18}23592966553600p18220226496
355{1,1,1,1,11}23654402795520p11rst1556144
356{1,2,3,9}24192003386880p9r2s15453760
357{1,5,11}24883203483648p115r1769120
358{1,1,2,4,4}24948002948400p44r2st1256480
359{1,1,2,13}25804804055040p132rs17485680

主要签名清单,第4部分

#主签名弗斯特主要事实。P DD F公司差异
360{3,4,8}2592000p84r1511520
361{2,3,3,4}2646000p4rs212454000
362{4,15}2654208p1541928208
363{1,1,1,3,8}2661120p8rst1456912
364{1,2,5,6}2721600p65r2s14460480
365{2,3,12}2764800p12r21743200
366{1,7,8}2799360p87r1634560
367{2,2,2,8}2822400p82r2s214423040
368{1,1,1,1,2,6}2882880p62rst美国12660480
369{1,1,4,10}2903040p104rs16420160
370{1,2,2,3,3}2910600pr2s2t1157560
371{1,2,16}2949120p162r1938520
372{6,12}2985984p12618236864
373{1,1,1,5,5}2993760p55rst1357776
374{1,3,3,7}3024000p7rs14430240
375{1,1,1,1,1,2,2}3063060p22rst美国9739060
376{2,5,9}3110400p95r21647340
377{1,20}3145728p2021235328
378{2,2,4,5}3175200p54r2s213429472
379{1,2,2,11}3225600p112r2s16450400
380{4,4,6}3240000p64r41414400
381{1,1,6,7}3265920p76rs15425920
382{1,4,13}3317760p134r1851840
383{1,1,2,3,6}3326400p6r2st1358640
384{8,9}3359232p9817232832
385{1,1,1,15}3440640p15rs18481408
386{3,3,10}3456000p10r1615360
387{3,17}3538944p1720282944
388{1,1,1,2,10}3548160p102rst1559216
389{1,1,1,2,2,4}3603600p42r2st美国11655440
390{1,2,4,8}3628800p84r2s15425200
391{14,2}3686400p142r21857600
392{1,6,10}3732480p106r1746080
393{1,1,1,1,1,8}3843840p8rst美国136111360
394{1,1,3,12}3870720p12rs17426880
395{1,2,2,2,5}3880800p52r2s2t12510080
396{3,5,7}3888000p75r157200
397{1,1,18}3932160p18r2044160
398{5,14}3981312p14519249152
399{1,1,1,4,7}3991680p74rst14510368
400{1,1,4}4084080p4rst美国10792400
401{2,4,11}4147200p114r21763120
402{1,1,3,3,4}4158000p4rst12510800
403{22}4194304p2222136304

 

 

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