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A151993 Number of Honaker primes (A033548) less than 10^n. +0
1
0, 0, 3, 63, 410, 2949, 21622, 175504, 1478015, 12330087, 107585476, 937135794 (list; graph; listen)
OFFSET

1,3

COMMENT

G. L. Honaker, Jr. computed the first six terms. Are there an infinite number of Honaker primes?

EXAMPLE

a(3) = 3 because 131, 263, and 457 are the only Honaker primes less than 10^3.

MATHEMATICA

nn=6; cnt=0; power10=10; Reap[Do[p=Prime[k]; If[p>power10, Sow[cnt]; power10=10*power10]; If[Total[IntegerDigits[k]] == Total[IntegerDigits[p]], cnt++ ], {k, PrimePi[10^nn]+1}]][[2, 1]]

CROSSREFS

Cf. A006880 (primes < 10^n).

Sequence in context: A123754 A048354 A046181 this_sequence A120053 A139293 A133275

Adjacent sequences: A151990 A151991 A151992 this_sequence A151994 A151995 A151996

KEYWORD

hard,nonn

AUTHOR

T. D. Noe (noe(AT)sspectra.com), Sep 14 2009

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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