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A185337
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Primes p(n) such that p(n) < 2^((p(n+1) - p(n))/2).
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1
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113, 887, 1129, 1327, 1669, 1951, 2179, 2477, 2971, 3137, 3271, 4297, 4831, 5119, 5351, 5531, 5591, 5749, 5953, 6491, 6917, 7253, 7759, 7963, 8389, 8467, 8893, 8971, 9551, 9973, 10009, 10399, 10531, 10799, 10909, 11551, 11743, 12163, 12853, 13063, 13187
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OFFSET
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1,1
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LINKS
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EXAMPLE
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113 is in the sequence because prime(30) < 2^((prime(30+1)-prime(30))/2) or 113 < 2^((127-113)/2).
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MATHEMATICA
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Select[Prime[Range[2000]], # < 2^((NextPrime[#] - #)/2) &] (* T. D. Noe, Mar 07 2012 *)
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PROG
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(PARI) v=List(); p=2; forprime(q=3, 1e4, if(p<2^((q-p)/2), listput(v, p)); p=q); Vec(v) \\ Charles R Greathouse IV, Aug 03 2012
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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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