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Search: id:A037155
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| A037155 |
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a(n)=n!-p, where p is the largest prime < n!-1. |
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+0
5
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| 3, 5, 7, 11, 17, 31, 13, 11, 13, 13, 23, 17, 47, 53, 59, 41, 101, 31, 31, 73, 89, 73, 149, 37, 43, 101, 31, 79, 61, 163, 47, 193, 113, 127, 97, 79, 73, 83, 131, 79, 109, 109, 53, 89, 79, 103, 59, 97, 179, 67, 59, 127, 61, 461, 277, 109, 137, 139, 71, 71, 101, 359
(list; graph; listen)
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OFFSET
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3,1
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COMMENT
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Analogous to the lesser Fortunate numbers and like them, all entries so far are primes.
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EXAMPLE
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a(4) = 4!-19 = 24-19 = 5.
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MATHEMATICA
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PrevPrime[ n_Integer ] := (k=n-1; While[ !PrimeQ[ k ], k-- ]; Return[ k ]); f[ n_Integer ] := (p = n! - 1; q = NextPrime[ p ]; Return[ p - q + 1 ]); Table[ f[ n ], {n, 3, 75} ]
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CROSSREFS
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Cf. A055211.
Sequence in context: A068811 A088083 A116457 this_sequence A038944 A124081 A119573
Adjacent sequences: A037152 A037153 A037154 this_sequence A037156 A037157 A037158
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KEYWORD
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nonn
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AUTHOR
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Jud McCranie (j.mccranie(AT)comcast.net)
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EXTENSIONS
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More terms from James A. Sellers (sellersj(AT)math.psu.edu), Jul 06 2000
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