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A082508
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Differences between consecutive primes that are powers of 2 in order of their appearance. Differences the are not powers of 2 are deleted from A001223.
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4
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1, 2, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 8, 4, 2, 4, 2, 4, 4, 2, 2, 4, 2, 2, 4, 2, 4, 2, 4, 2, 2, 4, 2, 4, 2, 4, 2, 4, 8, 4, 8, 4, 8, 2, 2, 4, 8, 4, 2, 4, 8, 4, 8, 4, 2, 2, 2, 4, 2, 2, 4, 2, 4, 8, 8, 8, 4, 8, 4, 8, 4, 2, 2, 4, 2, 4, 2, 4, 4, 2, 4, 4, 8, 8, 4, 4, 8, 4, 2, 2, 2, 2, 4, 2, 4, 8, 2, 8, 8, 4, 2
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OFFSET
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1,2
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LINKS
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FORMULA
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MATHEMATICA
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Do[s=Log[2, Prime[n+1]-Prime[n]]; If[IntegerQ[s], Print[Prime[n+1]]], {n, 1, 1000}]
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PROG
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(PARI) lista(pmax) = {my(p1 = 2, gap); forprime(p2 = 3, pmax, gap = p2 - p1; if(gap >> valuation(gap, 2) == 1, print1(gap, ", ")); p1 = p2); } \\ Amiram Eldar, Jun 06 2024
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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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