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A092131
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Distance from 2^n to the next prime.
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5
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0, 1, 3, 1, 5, 3, 3, 1, 9, 7, 5, 3, 17, 27, 3, 1, 29, 3, 21, 7, 17, 15, 9, 43, 35, 15, 29, 3, 11, 3, 11, 15, 17, 25, 53, 31, 9, 7, 23, 15, 27, 15, 29, 7, 59, 15, 5, 21, 69, 55, 21, 21, 5, 159, 3, 81, 9, 69, 131, 33, 15, 135, 29, 13, 131, 9, 3, 33, 29, 25, 11, 15, 29, 37, 33, 15, 11, 7, 23
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OFFSET
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1,3
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COMMENTS
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Essentially the same as A013597. - T. D. Noe, Jul 17 2007
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LINKS
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FORMULA
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a(n) = nextprime(2^n) - 2^n.
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EXAMPLE
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a(13)=17 because 2^13=8192 and the next prime is 8209=8192+17.
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MATHEMATICA
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Join[{0}, NextPrime[#]-#&/@(2^Range[2, 80])] (* Harvey P. Dale, Jun 06 2012 *)
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PROG
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(PARI) for(i=1, 100, x=2^i; print1(nextprime(x)-x, ", "))
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CROSSREFS
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Equivalent sequence for previous prime: A013603.
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KEYWORD
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easy,nonn
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AUTHOR
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Helmut Richter (richter(AT)lrz.de), Mar 30 2004
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STATUS
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approved
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