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A067660
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Values of gcd(k!+1,2^k+1) not equal to 1 taking k in increasing order.
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1
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2, 11, 19, 43, 67, 131, 163, 179, 227, 347, 419, 443, 491, 523, 563, 571, 619, 683, 691, 739, 787, 947, 1019, 1051, 1091, 1123, 1187, 1291, 1451, 1499, 1571, 1579, 1667, 1723, 1747, 1867, 1907, 1931, 2003, 2131, 2203, 6043, 2347, 2371, 2531, 2579, 2659
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OFFSET
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1,1
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LINKS
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FORMULA
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If 2m+1 is prime and is in the sequence, 2m+1 = gcd(m!+1, 2^m+1).
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MATHEMATICA
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Table[GCD[n!+1, 2^n+1], {n, 0, 4000}]/.(1->Nothing) (* Harvey P. Dale, Aug 03 2018 *)
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PROG
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(PARI) for(k=0, 3000, d=gcd(k!+1, 2^k+1); if(d<>1, print1(d, ", ")))
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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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STATUS
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approved
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