cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A191245 Primes that remain prime if the bit pattern 10 is attached as the most-significant bits to their binary representation.

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%I A191245 #13 Apr 16 2023 10:42:17
%S A191245 3,7,11,19,53,97,103,127,131,149,179,197,227,239,277,283,337,349,409,
%T A191245 457,463,487,499,569,599,641,659,683,701,719,743,809,839,953,971,1013,
%U A191245 1019,1051,1093,1201,1213,1237,1291,1297,1303,1321,1381,1423,1543,1597,1621,1747,1753,1783,1801
%N A191245 Primes that remain prime if the bit pattern 10 is attached as the most-significant bits to their binary representation.
%C A191245 Obtained by chopping the two most-significant bits off the associated A191235(n). - _R. J. Mathar_, Jun 03 2011
%e A191245 19 is in the sequence, because 19=10011_2 prefixed with 10_2 is 1010011_2 = 19+62=83 which still is prime.
%t A191245 Select[Prime[Range[300]],PrimeQ[FromDigits[Join[{1,0},IntegerDigits[ #,2]],2]]&] (* _Harvey P. Dale_, Apr 11 2012 *)
%Y A191245 Cf. A004676, A191235.
%K A191245 nonn,base,less
%O A191245 1,1
%A A191245 _Juri-Stepan Gerasimov_, May 28 2011
%E A191245 Corrected by _R. J. Mathar_, Jun 03 2011