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Search: id:A130796
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| A130796 |
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Primes p such that nextprime(p)-p is not power of 2. |
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+0 1
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| 23, 31, 47, 53, 61, 73, 83, 113, 131, 139, 151, 157, 167, 173, 181, 199, 211, 233, 241, 251, 257, 263, 271, 283, 293, 317, 331, 337, 353, 367, 373, 383, 409, 421, 433, 443, 467, 503, 509, 523, 541, 547, 557, 563, 571, 577, 587, 593, 601, 607, 619, 631, 647
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Indices of primes are 9,11,15,16,18,21,23,30,32,34,36,37,39,40,42,46,47,51, 53,54,55,56,58,61,62,66,... (subsequence of A113339). Cf. A001223 Differences between consecutive primes, A082509 Differences between consecutive primes that are not powers of 2, A082508 Differences between consecutive primes that are powers of 2, A113339 Integers n such that prime(n+1)-prime(n) is nonprime, square-free.
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MATHEMATICA
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<<NumberTheory`NumberTheoryFunctions`; c=0; p=2; Do[p1=NextPrime[p]; If[ !IntegerQ[Log[2, p1-p]], c++; a[c]=p]; p=p1, {200}]; Table[a[i], {i, c}]
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CROSSREFS
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Cf. A001223, A082508, A082509, A113339.
Sequence in context: A107662 A083370 A124582 this_sequence A031924 A033216 A139837
Adjacent sequences: A130793 A130794 A130795 this_sequence A130797 A130798 A130799
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KEYWORD
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nonn
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AUTHOR
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Zak Seidov (zakseidov(AT)yahoo.com), Aug 20 2007
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