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A191245
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Primes that remain prime if the bit pattern 10 is attached as the most-significant bits to their binary representation.
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0
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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
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1,1
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COMMENTS
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Obtained by chopping the two most-significant bits off the associated A191235(n). - R. J. Mathar, Jun 03 2011
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LINKS
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EXAMPLE
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19 is in the sequence, because 19=10011_2 prefixed with 10_2 is 1010011_2 = 19+62=83 which still is prime.
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MATHEMATICA
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Select[Prime[Range[300]], PrimeQ[FromDigits[Join[{1, 0}, IntegerDigits[ #, 2]], 2]]&] (* Harvey P. Dale, Apr 11 2012 *)
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CROSSREFS
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KEYWORD
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nonn,base,less
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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