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A241537 Cubes c such that c + 1234567890 is prime where 1234567890 is the first pandigital number with digits in order. 1
1, 50653, 79507, 456533, 571787, 1295029, 1685159, 1771561, 2248091, 2685619, 3307949, 4173281, 7880599, 9393931, 10218313, 10793861, 11697083, 17373979, 18191447, 22665187, 30664297, 47045881, 70444997, 111284641, 146363183, 151419437, 156590819, 192100033 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

K. D. Bajpai, Table of n, a(n) for n = 1..10000

EXAMPLE

50653 = 37^3 and appears in the sequence because 50653 + 1234567890 = 1234618543, which is prime.

79507 = 43^3  and appears in the sequence because 79507 + 1234567890 = 1234647397, which is prime.

64000 = 40^3 but not included in the sequence since 64000 + 1234567890 = 1234631890 = (2)*(5)*(29389)*(4201), which is not prime.

MAPLE

KD := proc() local a, c; c:=n^3; a:=c+1234567890; if isprime(a) then RETURN (c); fi; end: seq(KD(), n=1..1000);

MATHEMATICA

lst={}; Do[c=n^3; If[PrimeQ[c+1234567890], AppendTo[lst, c]], {n, 1, 1000}]; lst

(*For the b-file*)  m=0; c=n^3; a=c+1234567890; Do[If[PrimeQ[a], m++; Print[m, " ", c]], {n, 1, 4*10^5}]

PROG

(PARI) s=[]; for(n=1, 1000, c=n^3; if(isprime(c+1234567890), s=concat(s, c))); s \\ Colin Barker, Apr 25 2014

CROSSREFS

Cf. A000040, A002496, A028871, A050289, A056899, A234812, A235640, A240587.

Sequence in context: A250442 A183824 A013877 * A233977 A282336 A043672

Adjacent sequences:  A241534 A241535 A241536 * A241538 A241539 A241540

KEYWORD

nonn

AUTHOR

K. D. Bajpai, Apr 25 2014

STATUS

approved

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Last modified June 28 19:10 EDT 2022. Contains 354907 sequences. (Running on oeis4.)