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A208149
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Primes p(n) such that p(n) <= 2^(p(n+1) - p(n)).
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2
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2, 3, 7, 13, 23, 31, 47, 53, 61, 89, 113, 139, 181, 199, 211, 241, 283, 293, 317, 337, 409, 421, 467, 509, 523, 547, 577, 619, 631, 661, 691, 709, 773, 787, 797, 811, 829, 839, 863, 887, 919, 953, 997, 1021, 1069, 1129, 1201, 1237, 1259, 1307, 1327, 1381
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graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,1
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LINKS
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Charles R Greathouse IV, Table of n, a(n) for n = 1..10000
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EXAMPLE
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2 is here because prime(1)=2^(prime(1+1)-prime(1)) or 2=2^(3-2);
3 is here because prime(2)<2^(prime(2+1)-prime(2)) or 3<2^(5-3).
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MATHEMATICA
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Select[Prime[Range[300]], # <= 2^(NextPrime[#] - #) &] (* T. D. Noe, Feb 28 2012 *)
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PROG
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(PARI) v=List(); p=2; forprime(q=3, 1e4, if(p<=2^(q-p), listput(v, p)); p=q); Vec(v) \\ Charles R Greathouse IV, Aug 03 2012
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CROSSREFS
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Cf. A001223.
Sequence in context: A003509 A133370 A182047 * A144104 A088175 A091440
Adjacent sequences: A208146 A208147 A208148 * A208150 A208151 A208152
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KEYWORD
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nonn,changed
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AUTHOR
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Gerasimov Sergey, Feb 23 2012
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STATUS
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approved
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