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A067364
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a(n)=p-n!^4, where p is the smallest prime > n!^4+1.
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3
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2, 3, 5, 5, 7, 29, 19, 29, 181, 19, 31, 173, 79, 43, 379, 61, 101, 127, 101, 83, 37, 29, 271, 233, 109, 233, 293, 1039, 137, 241, 173, 197, 613, 1933, 277, 71, 503, 449, 1667, 53, 67, 163, 179, 211, 53, 613, 1171, 1069, 359, 199, 839, 433, 1523, 463, 677
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| The first 102 terms are primes. Are all terms prime? For n!^i, with 0<i<6, it looks like the terms are prime, too (see references). But for n!^6: a(28)=1189=29*41.
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LINKS
| Cyril Banderier, Fortunate Numbers
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MATHEMATICA
| a[n_] := For[i=2, True, i++, If[PrimeQ[n!^4+i], Return[i]]]
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PROG
| (MuPAD) for n from 1 to 50 do f := n!^4:a := nextprime(f+2)-f:print(a) end_for
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CROSSREFS
| Cf. A037153, A037153, A005235, A067362, A067363, A067365.
Sequence in context: A117530 A094749 A096539 * A090547 A087308 A121380
Adjacent sequences: A067361 A067362 A067363 * A067365 A067366 A067367
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KEYWORD
| nonn
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AUTHOR
| Frank Buss (fb(AT)frank-buss.de), Jan 19 2002
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EXTENSIONS
| Edited by Dean Hickerson (dean.hickerson(AT)yahoo.com), Mar 02 2002
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