A226079 Primes p such that p plus its decimal reversal is a cube.

203993941, 205399741, 205795741, 205993741, 207894541, 208795441, 213399931, 214498831, 214795831, 214894831, 217498531, 217894531, 218993431, 219894331, 223597921, 224399821, 225795721, 227498521

Offset

1,1

Comments

It is observed that 203993941 is the smallest prime in this sequence.

Links

K. D. Bajpai and Giovanni Resta, Table of n, a(n) for n = 1..1000 (first 119 terms from K. D. Bajpai)

Chris K. Caldwell and G. L. Honaker, Jr., Prime Curios! 203993941

Example

a(1) = 203993941: Reversing the digits gives 149399302 and 203993941+149399302=353393243=707^3.

Maple

with(StringTools):KD:= proc() local n, a, b, c, d, e, count; count:=1: for n from 1 to 17000000 do; a:=ithprime(n); b:=parse(Reverse(convert((a), string))); c:=a+b; d:=evalf(c^(1/3)); e:=floor(d); if d=e then lprint(count, a); count:=count+1; fi ; od; end:KD();

Prog

(PARI) rev(n)=subst(Polrev(digits(n)), 'x, 10)
is(n)=isprime(n) && ispower(n+rev(n), 3) \\ Charles R Greathouse IV, Aug 05 2013

Crossrefs

Cf. A059799 (similar sequence for squares), A080179.

Sequence in context: A078249 A243363 A273094 * A034641 A288088 A233493

Adjacent sequences: A226076 A226077 A226078 * A226080 A226081 A226082

Keyword

nonn,base

Author

K. D. Bajpai, Aug 05 2013

Status

approved