I primi multifattoriali della forma n!_k + 1 inferiori a 10³⁰, per k da 2 a 20

k

Primi multifattoriali

2

2 = 0!₂, 2 = 1!₂ + 1, 3 = 2!₂ + 1

3

2 = 0!₃, 2 = 1!₃ + 1, 3 = 2!₃ + 1, 5 = 4!₃ + 1, 11 = 5!₃ + 1, 19 = 6!₃ + 1, 29 = 7!₃ + 1, 163 = 9!₃ + 1, 281 = 10!₃ + 1, 881 = 11!₃ + 1, 209441 = 17!₃ + 1, 264539521 = 24!₃ + 1, 72642169601 = 29!₃ + 1, 9927882482918401 = 39!₃ + 1, 26582634158080001 = 40!₃ + 1, 141383412854531380076544001 = 57!₃ + 1, 427380210218181008588800001 = 58!₃ + 1, 2295148179742698933452800001 = 59!₃ + 1

4

2 = 0!₄, 2 = 1!₄ + 1, 3 = 2!₄ + 1, 5 = 4!₄ + 1, 13 = 6!₄ + 1, 30241 = 18!₄ + 1, 670442572801 = 38!₄ + 1, 23401744351572787201 = 56!₄ + 1

5

2 = 0!₅, 2 = 1!₅ + 1, 3 = 2!₅ + 1, 5 = 4!₅ + 1, 7 = 6!₅ + 1, 37 = 9!₅ + 1, 67 = 11!₅ + 1, 313 = 13!₅ + 1, 751 = 15!₅ + 1, 2857 = 17!₅ + 1, 129169 = 23!₅ + 1, 576577 = 26!₅ + 1, 17873857 = 31!₅ + 1, 54286849 = 32!₅ + 1, 393750001 = 35!₅ + 1, 643458817 = 36!₅ + 1, 19053977918977 = 49!₅ + 1, 206180145819649 = 52!₅ + 1, 11716249122484566383298871297 = 89!₅ + 1, 177636555893291390456871518209 = 92!₅ + 1

6

2 = 0!₆, 2 = 1!₆ + 1, 3 = 2!₆ + 1, 5 = 4!₆ + 1, 7 = 6!₆ + 1, 17 = 8!₆ + 1, 41 = 10!₆ + 1, 73 = 12!₆ + 1, 641 = 16!₆ + 1, 1297 = 18!₆ + 1, 4481 = 20!₆ + 1, 14081 = 22!₆ + 1, 394241 = 28!₆ + 1, 536166401 = 40!₆ + 1, 1410877441 = 42!₆ + 1, 6232145921 = 44!₆ + 1, 1282510028801 = 52!₆ + 1, 14481697524940801 = 66!₆ + 1, 73569236156416001 = 68!₆ + 1, 81329213300067532801 = 78!₆ + 1, 435529878045982720001 = 80!₆ + 1, 3445912395099815280640001 = 92!₆ + 1, 1717927167842495286476800001 = 100!₆ + 1, 6020599964155015285702656001 = 102!₆ + 1, 182100279791304500366540800001 = 106!₆ + 1

7

2 = 0!₇, 2 = 1!₇ + 1, 3 = 2!₇ + 1, 5 = 4!₇ + 1, 7 = 6!₇ + 1, 19 = 9!₇ + 1, 31 = 10!₇ + 1, 61 = 12!₇ + 1, 79 = 13!₇ + 1, 12241 = 24!₇ + 1, 19801 = 25!₇ + 1, 29641 = 26!₇ + 1, 76561 = 29!₇ + 1, 379441 = 31!₇ + 1, 2016841 = 35!₇ + 1, 2756161 = 36!₇ + 1, 1838865601 = 47!₇ + 1, 4150656721 = 49!₇ + 1, 337767408001 = 57!₇ + 1, 956960801281 = 58!₇ + 1, 21617114112001 = 64!₇ + 1, 1534815101952001 = 71!₇ + 1, 9590944392057601 = 73!₇ + 1, 30891838760640001 = 75!₇ + 1, 119715577952256001 = 78!₇ + 1, 767275551364608001 = 80!₇ + 1, 36517561701841718784001 = 97!₇ + 1, 1925095666508566946344304640001 = 123!₇ + 1

8

2 = 0!₈, 2 = 1!₈ + 1, 3 = 2!₈ + 1, 5 = 4!₈ + 1, 7 = 6!₈ + 1, 26881 = 28!₈ + 1, 55441 = 30!₈ + 1, 96909121 = 46!₈ + 1, 132843110401 = 60!₈ + 1, 48704929136641 = 72!₈ + 1, 152349556104345601 = 86!₈ + 1, 1397121162877440001 = 90!₈ + 1, 383414179456168545484801 = 112!₈ + 1

9

2 = 0!₉, 2 = 1!₉ + 1, 3 = 2!₉ + 1, 5 = 4!₉ + 1, 7 = 6!₉ + 1, 11 = 10!₉ + 1, 23 = 11!₉ + 1, 37 = 12!₉ + 1, 53 = 13!₉ + 1, 71 = 14!₉ + 1, 113 = 16!₉ + 1, 137 = 17!₉ + 1, 163 = 18!₉ + 1, 191 = 19!₉ + 1, 757 = 21!₉ + 1, 2161 = 24!₉ + 1, 2801 = 25!₉ + 1, 51521 = 32!₉ + 1, 1418561 = 40!₉ + 1, 4093601 = 43!₉ + 1, 42456961 = 48!₉ + 1, 69509441 = 49!₉ + 1, 105616001 = 50!₉ + 1, 2420046721 = 57!₉ + 1, 9160905601 = 60!₉ + 1, 1270453824641 = 71!₉ + 1, 2326680294401 = 73!₉ + 1, 190787784140801 = 82!₉ + 1, 509498986796801 = 83!₉ + 1, 2805949277824001 = 86!₉ + 1, 612940220628736001 = 97!₉ + 1, 43237630524920832001 = 105!₉ + 1, 4929089879840974848001 = 114!₉ + 1, 228953651959496233369601 = 121!₉ + 1, 17497801943110004345589760001 = 142!₉ + 1, 332722148604715221923450880001 = 147!₉ + 1

10

2 = 0!₁₀, 2 = 1!₁₀ + 1, 3 = 2!₁₀ + 1, 5 = 4!₁₀ + 1, 7 = 6!₁₀ + 1, 11 = 10!₁₀ + 1, 97 = 16!₁₀ + 1, 45697 = 34!₁₀ + 1, 4133377 = 46!₁₀ + 1, 4060162871525377 = 94!₁₀ + 1, 294880677941535796547813377 = 146!₁₀ + 1, 46001385758879584261458886657 = 156!₁₀ + 1

11

2 = 0!₁₁, 2 = 1!₁₁ + 1, 3 = 2!₁₁ + 1, 5 = 4!₁₁ + 1, 7 = 6!₁₁ + 1, 11 = 10!₁₁ + 1, 13 = 12!₁₁ + 1, 43 = 14!₁₁ + 1, 61 = 15!₁₁ + 1, 103 = 17!₁₁ + 1, 127 = 18!₁₁ + 1, 181 = 20!₁₁ + 1, 211 = 21!₁₁ + 1, 277 = 23!₁₁ + 1, 1051 = 25!₁₁ + 1, 2161 = 27!₁₁ + 1, 2857 = 28!₁₁ + 1, 4561 = 30!₁₁ + 1, 5581 = 31!₁₁ + 1, 21841 = 35!₁₁ + 1, 146161 = 40!₁₁ + 1, 234361 = 42!₁₁ + 1, 23647681 = 56!₁₁ + 1, 1014249601 = 65!₁₁ + 1, 5127421824001 = 86!₁₁ + 1, 6706218355201 = 87!₁₁ + 1, 10998867035521 = 89!₁₁ + 1, 27686230790401 = 90!₁₁ + 1, 269225474716801 = 95!₁₁ + 1, 94121726392108801 = 110!₁₁ + 1, 73977290676866304001 = 124!₁₁ + 1, 125153369537414400001 = 125!₁₁ + 1, 196898112351263232001 = 126!₁₁ + 1, 1980990543353657472001 = 133!₁₁ + 1, 84333087781352976384001 = 140!₁₁ + 1, 117166636727734164480001 = 141!₁₁ + 1, 1458092399241034851840001 = 146!₁₁ + 1, 6069842972162295895296001 = 149!₁₁ + 1, 17809328782615593000960001 = 152!₁₁ + 1, 33105941575271323337779201 = 154!₁₁ + 1, 395326453879134212198400001 = 158!₁₁ + 1, 505108182932543448693227520001 = 174!₁₁ + 1

12

2 = 0!₁₂, 2 = 1!₁₂ + 1, 3 = 2!₁₂ + 1, 5 = 4!₁₂ + 1, 7 = 6!₁₂ + 1, 11 = 10!₁₂ + 1, 13 = 12!₁₂ + 1, 29 = 14!₁₂ + 1, 109 = 18!₁₂ + 1, 7481 = 34!₁₂ + 1, 10369 = 36!₁₂ + 1, 7348321 = 54!₁₂ + 1, 19956641 = 58!₁₂ + 1, 1396964801 = 70!₁₂ + 1, 180592312321 = 84!₁₂ + 1, 1872381094133761 = 108!₁₂ + 1, 2486261118935706112001 = 142!₁₂ + 1, 7135721521905380884480001 = 160!₁₂ + 1, 16727461397398259988480001 = 162!₁₂ + 1, 63558779244472391047168001 = 166!₁₂ + 1

13

2 = 0!₁₃, 2 = 1!₁₃ + 1, 3 = 2!₁₃ + 1, 5 = 4!₁₃ + 1, 7 = 6!₁₃ + 1, 11 = 10!₁₃ + 1, 13 = 12!₁₃ + 1, 31 = 15!₁₃ + 1, 199 = 22!₁₃ + 1, 379 = 27!₁₃ + 1, 2791 = 31!₁₃ + 1, 4621 = 33!₁₃ + 1, 9769 = 37!₁₃ + 1, 13183 = 39!₁₃ + 1, 15121 = 40!₁₃ + 1, 87721 = 43!₁₃ + 1, 122761 = 44!₁₃ + 1, 332641 = 48!₁₃ + 1, 488401 = 50!₁₃ + 1, 6997321 = 57!₁₃ + 1, 25154641 = 62!₁₃ + 1, 17711084161 = 81!₁₃ + 1, 56784913921 = 84!₁₃ + 1, 208122868801 = 89!₁₃ + 1, 5508136650241 = 97!₁₃ + 1, 178138084481281 = 107!₁₃ + 1, 605895031526401 = 110!₁₃ + 1, 834742057564801 = 111!₁₃ + 1, 21376570137753601 = 120!₁₃ + 1, 1543588017943910401 = 132!₁₃ + 1, 2843083828321228801 = 133!₁₃ + 1, 10135412087373619201 = 136!₁₃ + 1, 89844523369696972801 = 144!₁₃ + 1, 478984798503665879040001 = 164!₁₃ + 1, 1886009588552176549862401 = 169!₁₃ + 1, 203965444020113688084480001 = 180!₁₃ + 1

14

2 = 0!₁₄, 2 = 1!₁₄ + 1, 3 = 2!₁₄ + 1, 5 = 4!₁₄ + 1, 7 = 6!₁₄ + 1, 11 = 10!₁₄ + 1, 13 = 12!₁₄ + 1, 73 = 18!₁₄ + 1, 241 = 24!₁₄ + 1, 313 = 26!₁₄ + 1, 6337 = 36!₁₄ + 1, 316801 = 50!₁₄ + 1, 474241 = 52!₁₄ + 1, 673921 = 54!₁₄ + 1, 1581465601 = 78!₁₄ + 1, 2503987201 = 80!₁₄ + 1, 41410068481 = 88!₁₄ + 1, 1516990464001 = 100!₁₄ + 1, 8637390028801 = 104!₁₄ + 1, 1850694303744001 = 120!₁₄ + 1, 103214185077591244801 = 152!₁₄ + 1, 1449195714352093593601 = 158!₁₄ + 1, 102805986657235177046016001 = 188!₁₄ + 1, 203432411039525707481874432001 = 210!₁₄ + 1

15

2 = 0!₁₅, 2 = 1!₁₅ + 1, 3 = 2!₁₅ + 1, 5 = 4!₁₅ + 1, 7 = 6!₁₅ + 1, 11 = 10!₁₅ + 1, 13 = 12!₁₅ + 1, 17 = 16!₁₅ + 1, 101 = 20!₁₅ + 1, 127 = 21!₁₅ + 1, 251 = 25!₁₅ + 1, 1783 = 33!₁₅ + 1, 22817 = 46!₁₅ + 1, 51137 = 47!₁₅ + 1, 656657 = 56!₁₅ + 1, 5388769 = 63!₁₅ + 1, 38500001 = 70!₁₅ + 1, 2636577217 = 84!₁₅ + 1, 6941485937 = 89!₁₅ + 1, 9625522817 = 91!₁₅ + 1, 600676428353 = 103!₁₅ + 1, 13178512359937 = 111!₁₅ + 1, 17684964833537 = 112!₁₅ + 1, 29756410459777 = 114!₁₅ + 1, 16790145966770177 = 136!₁₅ + 1, 234129450586622977 = 141!₁₅ + 1, 709396187500000001 = 145!₁₅ + 1, 36524194291513184257 = 156!₁₅ + 1, 182269171426293439489 = 162!₁₅ + 1, 1161688523635868338446337 = 186!₁₅ + 1, 6194235521751156247560193 = 192!₁₅ + 1, 1001699282577964490526662657 = 206!₁₅ + 1, 711975497511453268455460274177 = 226!₁₅ + 1

16

2 = 0!₁₆, 2 = 1!₁₆ + 1, 3 = 2!₁₆ + 1, 5 = 4!₁₆ + 1, 7 = 6!₁₆ + 1, 11 = 10!₁₆ + 1, 13 = 12!₁₆ + 1, 17 = 16!₁₆ + 1, 37 = 18!₁₆ + 1, 193 = 24!₁₆ + 1, 337 = 28!₁₆ + 1, 421 = 30!₁₆ + 1, 7681 = 40!₁₆ + 1, 430081 = 56!₁₆ + 1, 10183681 = 68!₁₆ + 1, 18960481 = 70!₁₆ + 1, 30965761 = 72!₁₆ + 1, 1352914698241 = 112!₁₆ + 1, 19625917006081 = 118!₁₆ + 1, 83059643842561 = 124!₁₆ + 1, 31792268239699968001 = 164!₁₆ + 1, 621289259669634536378990592001 = 236!₁₆ + 1

17

2 = 0!₁₇, 2 = 1!₁₇ + 1, 3 = 2!₁₇ + 1, 5 = 4!₁₇ + 1, 7 = 6!₁₇ + 1, 11 = 10!₁₇ + 1, 13 = 12!₁₇ + 1, 17 = 16!₁₇ + 1, 19 = 18!₁₇ + 1, 61 = 20!₁₇ + 1, 139 = 23!₁₇ + 1, 271 = 27!₁₇ + 1, 349 = 29!₁₇ + 1, 631 = 35!₁₇ + 1, 2221 = 37!₁₇ + 1, 5521 = 40!₁₇ + 1, 119881 = 54!₁₇ + 1, 314641 = 57!₁₇ + 1, 859321 = 62!₁₇ + 1, 1173121 = 64!₁₇ + 1, 1354081 = 65!₁₇ + 1, 1768801 = 67!₁₇ + 1, 17537521 = 73!₁₇ + 1, 56525041 = 78!₁₇ + 1, 12884256001 = 100!₁₇ + 1, 119248778881 = 106!₁₇ + 1, 168886317601 = 107!₁₇ + 1, 485039514961 = 111!₁₇ + 1, 1070906054401 = 115!₁₇ + 1, 2402757302401 = 120!₁₇ + 1, 329177750428801 = 137!₁₇ + 1, 766791086181121 = 138!₁₇ + 1, 7046715481344001 = 144!₁₇ + 1, 21062580277939201 = 149!₁₇ + 1, 50693373566035201 = 154!₁₇ + 1, 466543723553107201 = 158!₁₇ + 1, 1846344243859315201 = 163!₁₇ + 1, 4248256503306816001 = 167!₁₇ + 1, 81645151621793760001 = 175!₁₇ + 1, 201944772264356352001 = 178!₁₇ + 1, 332341963894676736001 = 180!₁₇ + 1, 29743925333635408896001 = 194!₁₇ + 1, 127967812736647403520001 = 200!₁₇ + 1, 795914149022356857292801 = 206!₁₇ + 1, 4125783480466150715756544001 = 232!₁₇ + 1, 9897270729787707011665920001 = 236!₁₇ + 1, 76420767308985621594648576001 = 241!₁₇ + 1, 619132500661968715887489024001 = 247!₁₇ + 1

18

2 = 0!₁₈, 2 = 1!₁₈ + 1, 3 = 2!₁₈ + 1, 5 = 4!₁₈ + 1, 7 = 6!₁₈ + 1, 11 = 10!₁₈ + 1, 13 = 12!₁₈ + 1, 17 = 16!₁₈ + 1, 19 = 18!₁₈ + 1, 41 = 20!₁₈ + 1, 89 = 22!₁₈ + 1, 281 = 28!₁₈ + 1, 449 = 32!₁₈ + 1, 28289 = 52!₁₈ + 1, 85121 = 56!₁₈ + 1, 204161 = 58!₁₈ + 1, 15516161 = 76!₁₈ + 1, 28304641 = 78!₁₈ + 1, 226748161 = 90!₁₈ + 1, 2717245441 = 96!₁₈ + 1, 9771632641 = 102!₁₈ + 1, 1172595916801 = 120!₁₈ + 1, 6133366407168001 = 150!₁₈ + 1, 69199687014912675020801 = 206!₁₈ + 1, 90135664515237224749465601 = 232!₁₈ + 1, 1015341439742520208654336001 = 238!₁₈ + 1

19

2 = 0!₁₉, 2 = 1!₁₉ + 1, 3 = 2!₁₉ + 1, 5 = 4!₁₉ + 1, 7 = 6!₁₉ + 1, 11 = 10!₁₉ + 1, 13 = 12!₁₉ + 1, 17 = 16!₁₉ + 1, 19 = 18!₁₉ + 1, 43 = 21!₁₉ + 1, 67 = 22!₁₉ + 1, 151 = 25!₁₉ + 1, 331 = 30!₁₉ + 1, 373 = 31!₁₉ + 1, 463 = 33!₁₉ + 1, 613 = 36!₁₉ + 1, 2707 = 41!₁₉ + 1, 8191 = 45!₁₉ + 1, 13921 = 48!₁₉ + 1, 27031 = 53!₁₉ + 1, 30241 = 54!₁₉ + 1, 415801 = 63!₁₉ + 1, 3483481 = 77!₁₉ + 1, 25913521 = 81!₁₉ + 1, 66444841 = 85!₁₉ + 1, 95661721 = 87!₁₉ + 1, 153513361 = 90!₁₉ + 1, 297131881 = 95!₁₉ + 1, 1866775681 = 99!₁₉ + 1, 29711858401 = 113!₁₉ + 1, 38457619201 = 115!₁₉ + 1, 413238672001 = 120!₁₉ + 1, 1044295660801 = 124!₁₉ + 1, 1522646294401 = 126!₁₉ + 1, 2141818398721 = 128!₁₉ + 1, 3398741216641 = 131!₁₉ + 1, 11744090467201 = 135!₁₉ + 1, 57440175408001 = 139!₁₉ + 1, 96121467711361 = 141!₁₉ + 1, 788458108838401 = 153!₁₉ + 1, 3497731242330124801 = 180!₁₉ + 1, 8035883886443212801 = 184!₁₉ + 1, 13718163101023180801 = 187!₁₉ + 1, 12675639990897992908801 = 211!₁₉ + 1, 155144193774711560939520001 = 244!₁₉ + 1, 7118205384451316378775552001 = 255!₁₉ + 1, 33775586955870655900612608001 = 262!₁₉ + 1, 1090048758645778976865300480001 = 272!₁₉ + 1

20

2 = 0!₂₀, 2 = 1!₂₀ + 1, 3 = 2!₂₀ + 1, 5 = 4!₂₀ + 1, 7 = 6!₂₀ + 1, 11 = 10!₂₀ + 1, 13 = 12!₂₀ + 1, 17 = 16!₂₀ + 1, 19 = 18!₂₀ + 1, 97 = 24!₂₀ + 1, 157 = 26!₂₀ + 1, 577 = 36!₂₀ + 1, 7177 = 46!₂₀ + 1, 10753 = 48!₂₀ + 1, 32257 = 56!₂₀ + 1, 114577 = 62!₂₀ + 1, 270337 = 64!₂₀ + 1, 473617 = 66!₂₀ + 1, 1437697 = 72!₂₀ + 1, 1902097 = 74!₂₀ + 1, 3094417 = 78!₂₀ + 1, 94500001 = 90!₂₀ + 1, 27299414017 = 116!₂₀ + 1, 544002915457 = 126!₂₀ + 1, 13184454658991617 = 166!₂₀ + 1, 6547290750000000001 = 190!₂₀ + 1, 197170343955680697778177 = 228!₂₀ + 1, 482774091254065231036417 = 232!₂₀ + 1, 711002725273991946571777 = 234!₂₀ + 1, 48898245301008813048987649 = 248!₂₀ + 1