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Search: id:A091825
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| A091825 |
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Integers of the form ((p-1)!*2^(p-1) + 1)/p. |
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+0
2
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| 2, 3, 77, 6583, 337808291, 150922350277, 80658585770586353, 88333886984966359579, 204973945587849174028466087, 2822166959135536313284193618131862069
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OFFSET
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0,1
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COMMENT
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If p is prime and gcd(q,p)=1 then p divide (p-1)!*q^(p-1) + 1
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EXAMPLE
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a(1) = ((1-1)!*2^(1-1) + 1)/1 = 2
((2-1)!*2^(2-1) + 1)/2 = 3/2 is not an integer
a(2) = ((3-1)!*2^(3-1) + 1)/3 = 3
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PROGRAM
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(PARI) for (i=1, 100, if(denominator(((i-1)!*2^(i-1)+1)/i)==1, print((((i-1)!*2^(i-1)+1)/i)));
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CROSSREFS
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Cf. A091824.
Sequence in context: A115892 A145531 A042233 this_sequence A166091 A068185 A037391
Adjacent sequences: A091822 A091823 A091824 this_sequence A091826 A091827 A091828
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KEYWORD
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nonn
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AUTHOR
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Mohammed Bouayoun (mohammed.bouayoun(AT)sanef.com), Mar 09 2004
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