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 A281257 Primes in A067894: primes in the partial sums of the binary representations of the first m natural numbers, reading these representations in decimal. 1
 11, 223, 2556997, 3333331, 14559007, 47836783, 56672227, 65555671, 181114559, 411488881, 583227779, 1399999987, 5723503439, 10047846871, 11361255547, 13787777879, 18474111311, 19905449987, 20235780199, 21226777753, 22557892319, 71445725647, 83447001413, 103459003423 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Intersection of A000040 and A067894. LINKS Robert Israel, Table of n, a(n) for n = 1..10000 EXAMPLE 0 + 1 + 10 = 11 (prime), so 11 is in the sequence. 0 + 1 + 10 + 11 + 100 + 101 = 223 (prime), so 223 is in the sequence. MAPLE select(isprime, ListTools:-PartialSums(map(convert, [\$1..1000], binary))); # Robert Israel, Jan 18 2017 MATHEMATICA Select[Accumulate[Table[FromDigits[IntegerDigits[n, 2]], {n, 0, 1000}]], PrimeQ] PROG (PARI) F(k, {b=10})=sum(i=1, k, subst(Pol(binary(i), y), y, b)); test(k, {b=10})={my(z=F(k, b)); return(isprime(z)*z)}; Values(n, {b=10})={my(L=List(), j, t); while(#L

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Last modified May 11 21:35 EDT 2021. Contains 343808 sequences. (Running on oeis4.)