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A033548 Honaker primes: primes P(k) such that sum of digits of P(k) equals sum of digits of k. +0
14
131, 263, 457, 1039, 1049, 1091, 1301, 1361, 1433, 1571, 1913, 1933, 2141, 2221, 2273, 2441, 2591, 2663, 2707, 2719, 2729, 2803, 3067, 3137, 3229, 3433, 3559, 3631, 4091, 4153, 4357, 4397, 4703, 4723, 4903, 5009, 5507, 5701, 5711, 5741, 5801, 5843 (list; graph; listen)
OFFSET

1,1

COMMENT

A090431(A049084(a(n))) = 0.

REFERENCES

Proposed by G. L. Honaker, Jr. (honak3r(AT)gmail.com)

LINKS

T. D. Noe, Table of n, a(n) for n=1..1000

EXAMPLE

131 is the 32nd prime and sum of digits of both is 5.

MATHEMATICA

Prime[ Select[ Range[ 2000 ], Apply[ Plus, IntegerDigits[ # ] ] == Apply[ Plus, IntegerDigits[ Prime[ # ] ] ] & ] ] from Santi Spadaro (spados(AT)katamail.com), Oct 14 2001

Select[ Prime@ Range@ 5927, Plus @@ IntegerDigits@ # == Plus @@ IntegerDigits@ PrimePi@ # &] [From Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 07 2009]

CROSSREFS

Cf. A033549.

Cf. A072439.

Sequence in context: A107001 A142616 A132249 this_sequence A117477 A089316 A142129

Adjacent sequences: A033545 A033546 A033547 this_sequence A033549 A033550 A033551

KEYWORD

nonn,base,nice

AUTHOR

Calculated by Jud McCranie (j.mccranie(AT)comcast.net)

EXTENSIONS

More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 07 2009

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Last modified December 16 17:18 EST 2009. Contains 170825 sequences.


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