# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a333393 Showing 1-1 of 1 %I A333393 #5 Mar 18 2020 16:26:20 %S A333393 3,7,29,1873,7672913,8045632442437, %T A333393 2490002635466567109268165355290155548689 %N A333393 Primes whose binary representation corresponds to the characteristic function of 1, 2, 3, 5, 7, ... (1 followed by primes). %C A333393 The next term is too large to include. %e A333393 1873 (in base 10) = 11101010001 (in base 2). %e A333393 ||| | | | %e A333393 123 5 7 11 %t A333393 Select[Table[2^(Prime[n] - 1) + Sum[2^(Prime[n] - Prime[k]), {k, 1, n}], {n, 1, 32}], PrimeQ[#] &] %Y A333393 Primes in A333392. %Y A333393 Cf. A000040, A004676, A008578, A080339. %K A333393 nonn,base %O A333393 1,1 %A A333393 _Ilya Gutkovskiy_, Mar 18 2020 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE