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A182217
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Primes p = prime(n) such that there is k>0 for which prime(n+k) = prime(n) + 4^(k-1).
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1
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2, 3, 43, 73, 151, 157, 163, 181, 277, 337, 367, 373, 433, 487, 601, 631, 643, 727, 757, 811, 823, 937, 967, 1093, 1213, 1471, 1483, 1543, 1567, 1693, 1873, 2083, 2137, 2281, 2341, 2383, 2647, 2671, 2953, 3307, 3313, 3517, 3607, 3847, 4003, 4441, 4447
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OFFSET
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1,1
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LINKS
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Table of n, a(n) for n=1..47.
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EXAMPLE
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2=prime(1+1)-4^(1-1)=3-1, 3=prime(2+2)-4^(2-1)=7-4, 43=prime(14+3)-4^(3-1)=59-16, 73=prime(21+3)-4^(3-1)=89-16.
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PROG
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(PARI) is_A182217(p)={isprime(p) || return; my(q=p); for(k=0, 9, p+4^k==(q=nextprime(q+1)) & return(1))} \\ M. F. Hasler, May 20 2012
(PARI) for(n=1, 9999, for(k=1, 9, prime(n+k)-prime(n)==4^(k-1)&!print1(prime(n)", ")&break)) \\ M. F. Hasler, May 20 2012
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CROSSREFS
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Cf. A001223.
Sequence in context: A237414 A051099 A162712 * A233314 A062581 A077520
Adjacent sequences: A182214 A182215 A182216 * A182218 A182219 A182220
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KEYWORD
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nonn
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AUTHOR
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Gerasimov Sergey, Apr 19 2012
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STATUS
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approved
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