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A300692
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Primes that are the sum of all primes up to some power of 2.
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0
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OFFSET
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1,1
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COMMENTS
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Elements in the sequence are certified primes.
The corresponding exponents of 2 are 1, 2, 3, 4, 16 and 54.
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LINKS
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FORMULA
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Numbers of the form Sum_{i=2..2^n-1} A061397(i) that are prime.
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EXAMPLE
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17 is a term because the sum of all primes below 2^3 is 2+3+5+7 = 17 which is prime.
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MATHEMATICA
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Select[Array[Total@ Prime@ Range@ PrimePi[2^#] &, 27, 0], PrimeQ] (* Michael De Vlieger, Apr 10 2018 *)
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PROG
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(PARI) lista(nn) = {for (n=0, nn, s = 0; forprime(k=0, 2^n, s+=k); if (isprime(s), print1(s, ", "))); }
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CROSSREFS
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KEYWORD
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nonn,more
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AUTHOR
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STATUS
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approved
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