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A244614
Prime numbers whose decimal expansion has the same digit sum as its hexadecimal expansion, and such that the number of bits in its binary expansion matches the digit sum. Only digits 1-9 are allowed in both the decimal and hexadecimal expansions.
1
2, 1361, 1811, 4423, 5233, 5413, 33811, 2181217, 2233417, 2234227, 2241427, 2253127, 2311537, 2315317, 2512417, 2631217, 3225127, 3412327, 3421237, 3422227, 3621217, 4264313, 4274213, 4281413, 4282133, 4331543, 4346213, 4412183, 4412453, 4417313, 4428113, 4532513, 4535123, 4543313, 4551233
OFFSET
1,1
COMMENTS
The sequence has a finite number of terms.
The sequence is a subset of A244597.
LINKS
The sequence was calculated by the author to be able to write a mathematical poem: Eighteen Eleven.
EXAMPLE
Decimal prime number 1811 (digit sum eleven) = Hex 713 (digit sum eleven) = Binary 11100010011 (eleven bits).
CROSSREFS
KEYWORD
nonn,base,fini
AUTHOR
Andreas Boe, Jul 02 2014
STATUS
approved