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A302859
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Primes of the form (k+1)!*k/2 + 1.
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3
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2, 7, 37, 241, 1801, 15121, 141121, 1451521, 16329601, 199584001, 37362124801, 566658892801, 9153720576001, 23112569077678080001, 186134520519971831808000001
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OFFSET
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1,1
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COMMENTS
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The next term, for k = 251 (see A301373), is
2566282033898537172673689833660299199318441\
47812028978290091772271674111238846647249346322032725585967946013083615\
44220440938904033673583084158870025082998875790404475054647299641196409\
72934112662249702715026203933143550590243427364871765801696382591273000\
77256511620017707120387621962694782616283336623216978502662268159966484\
36506095391239127788493879085200485514817503469381297494013097308996216\
58710310236069486145497777789215839354880000000000000000000000000000000\
0000000000000000000000000000001
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LINKS
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FORMULA
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MATHEMATICA
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Reap[For[k = 1, k <= 1000, k++, If[PrimeQ[p = (k+1)! k/2 + 1], Print["k = ", k, " p = ", p]; Sow[p]]]][[2, 1]]
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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This sequence was originally submitted as A302174, then withdrawn, then reinstated with a new A-number by N. J. A. Sloane, Apr 14 2018
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STATUS
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approved
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