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A079361
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Primes in the sequence of sums of alternating powers of 2.
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3
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5, 7, 19, 43, 379, 1531, 3067, 24571, 98299, 100663291, 6442450939, 51539607547, 844424930131963, 13510798882111483, 55340232221128654843, 1947111321950560360698936123457531, 133804471191183738849214309635890169035882491
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OFFSET
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1,1
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COMMENTS
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Sum of reciprocals = 0.4224131591021966740339033736...
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LINKS
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PROG
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(PARI) /* Primes in the sequence of sums of alternating powers of 2 */ pseq(n) = { j=a=1; p=2; sr=0; while(j<=n, a = a + 2^(p); if(isprime(a), print1(a" "); sr+=1.0/a; ); a = a+2^(p-1); if(isprime(a), print1(a" "); sr+=1.0/a; ); p+=1; j+=2; ); print(); print(sr); }
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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