

A191245


Primes that remain prime if the bit pattern 10 is attached as the mostsignificant bits to their binary representation.


0



3, 7, 11, 19, 53, 97, 103, 127, 131, 149, 179, 197, 227, 239, 277, 283, 337, 349, 409, 457, 463, 487, 499, 569, 599, 641, 659, 683, 701, 719, 743, 809, 839, 953, 971, 1013, 1019, 1051, 1093, 1201, 1213, 1237, 1291, 1297, 1303, 1321, 1381, 1423, 1543, 1597, 1621, 1747, 1753, 1783, 1801
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OFFSET

1,1


COMMENTS

Obtained by chopping the two mostsignificant bits off the associated A191235(n).  R. J. Mathar, Jun 03 2011


LINKS

Table of n, a(n) for n=1..55.


EXAMPLE

19 is in the sequence, because 19=10011_2 prefixed with 10_2 is 1010011_2 = 19+62=83 which still is prime.


MATHEMATICA

Select[Prime[Range[300]], PrimeQ[FromDigits[Join[{1, 0}, IntegerDigits[ #, 2]], 2]]&] (* Harvey P. Dale, Apr 11 2012 *)


CROSSREFS

Cf. A004676, A191235.
Sequence in context: A132453 A033871 A060288 * A282914 A284027 A111056
Adjacent sequences: A191242 A191243 A191244 * A191246 A191247 A191248


KEYWORD

nonn,base,less


AUTHOR

JuriStepan Gerasimov, May 28 2011


EXTENSIONS

Corrected by R. J. Mathar, Jun 03 2011


STATUS

approved



