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A267298
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Integers k such that the k-th prime divides the product of the first k nonzero Jacobsthal numbers.
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0
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5, 11, 14, 21, 24, 30, 31, 36, 53, 54, 55, 60, 61, 63, 67, 68, 78, 84, 88, 95, 105, 110, 113, 115, 116, 117, 122, 124, 125, 131, 141, 152, 162, 164, 170, 174, 176, 177, 184, 185, 192, 196, 199, 204, 216, 226, 234, 245, 255, 260, 267, 273, 275, 279, 280, 304, 305, 316, 319, 324, 339, 349, 356, 358, 366
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OFFSET
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1,1
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COMMENTS
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If any A001045(j) has a prime divisor p where p is the k-th prime for 1 <= j <= k, then k is a term of this sequence.
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LINKS
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EXAMPLE
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5 is a term because A001045(5) = 11 is divisible by 11.
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PROG
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(PARI) a001045(n) = (2^n - (-1)^n) / 3;
lista(nn) = for(n=1, nn, my(p = prime(n)); if (lift(prod(i=1, n, Mod(a001045(i), p))) == 0, print1(n, ", ")));
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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