A059008 -id:A059008 - cp's OEIS frontend

A059007 Numbers m such that m^2 reversed is a prime.

4, 14, 19, 28, 32, 37, 38, 40, 41, 62, 85, 89, 95, 97, 106, 119, 136, 139, 140, 190, 193, 196, 266, 271, 274, 277, 280, 281, 313, 316, 320, 325, 328, 331, 334, 335, 353, 355, 361, 362, 370, 373, 377, 380, 383, 397, 398, 400, 401, 403, 410, 412, 421, 434, 439

Offset: 1

Robert G. Wilson v, Jan 16 2001

			28 is in the sequence because the reverse of 28^2 is 487 which is a prime. - _Indranil Ghosh_, Feb 10 2017

Indranil Ghosh, Table of n, a(n) for n = 1..10000 (terms 0..1000 from T. D. Noe)

Cf. A007488.

Numbers m such that m^k reversed is a prime: A059008 (k=3), A059205 (k=4), A059206 (k=5), A059207 (k=6), A059208 (k=7), A059209 (k=8), A059210 (k=9), A059211 (k=10), A059212 (k=11), A059213 (k=12).

[n: n in [1..500] | IsPrime(Seqint(Reverse(Intseq(n^2))))]; // Marius A. Burtea, Jan 12 2019

Select[ Range[ 1000 ], PrimeQ[ ToExpression[ StringReverse[ ToString[ #^2 ] ] ] ] & ]
Select[Range[500],PrimeQ[IntegerReverse[#^2]]&] (* Requires Mathematica version 10 or later *) (* Harvey P. Dale, Aug 10 2019 *)

isok(n) = isprime(fromdigits(Vecrev(digits(n^2)))); \\ Michel Marcus, Jan 12 2019

A059696 Primes p such that p^3 reversed is also prime.

Original entry on oeis.org

5, 89, 157, 211, 251, 271, 463, 467, 487, 491, 499, 503, 521, 523, 541, 547, 563, 571, 701, 1069, 1091, 1103, 1129, 1151, 1187, 1217, 1447, 1451, 1487, 1489, 1493, 1979, 1999, 2089, 2339, 2351, 2383, 2437, 2467, 2621, 2657, 2693, 3119, 3121, 3221, 3251

Offset: 1

Robert G. Wilson v, Feb 06 2001

nonn

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Cf. A059008.

[p: p in PrimesUpTo(3300) | IsPrime(Seqint(Reverse(Intseq(p^3))))]; // Vincenzo Librandi, Apr 11 2013

Select[ Range[ 4000 ], PrimeQ[ # ] && PrimeQ[ ToExpression[ StringReverse[ ToString[ #^3 ] ] ] ] & ]

A232268 Numbers n such that reversal (n^3) plus 1 is prime.

Original entry on oeis.org

1, 3, 4, 6, 10, 19, 28, 30, 31, 40, 60, 63, 64, 66, 87, 88, 93, 96, 100, 129, 132, 135, 138, 141, 144, 184, 190, 274, 279, 280, 283, 285, 292, 294, 297, 300, 303, 310, 393, 399, 400, 402, 433, 436, 439, 589, 597, 598, 600, 612, 616, 621, 628, 630, 639, 640, 642

Offset: 1

K. D. Bajpai, Nov 22 2013

If n is a multiple of 10, after reversal leading zeros are discarded before adding 1.

			a(3)= 4: 4^3= 64: reversing the digits gives 46: 46+1= 47 which is prime.
a(4)= 6: 6^3= 216: reversing the digits gives 612: 612+1= 613 which is prime.
a(12)= 63: 63^3= 250047: reversing the digits gives 740052: 740052+1= 740053 which is prime.

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

Cf. A059008 (numbers n: n^3 reversed is prime).

Cf. A231756 (numbers n: reversal (n^2) plus 1 is prime).

with(StringTools): KD:= proc() local a; a:= parse(Reverse(convert((n^3), string)))+1; if isprime(a) then RETURN (n): fi;end: seq(KD(), n=1..5000);

Select[Range[500],PrimeQ[ToExpression[StringReverse[ToString[#^3]]] + 1] &]

A320909 Numbers k such that k^2 and k^3, when reversed, are prime.

Original entry on oeis.org

89, 271, 325, 328, 890, 1025, 1055, 1081, 1129, 1169, 1241, 2657, 2710, 3112, 3121, 3149, 3244, 3250, 3263, 3280, 3335, 3346, 3403, 4193, 4222, 4231, 4289, 4291, 5531, 5584, 5653, 5678, 5716, 5791, 5795, 5836, 5837, 8882, 8900, 8926, 8942, 9664, 9794, 9875

Offset: 1

Jesse Endo Jenks, Oct 23 2018

			89 is a term since 89^2 = 7921 and 1297 is prime, and 89^3 = 704969 and 969407 is prime.

Chai Wah Wu, Table of n, a(n) for n = 1..10000 (first 100 terms from Jesse Endo Jenks)
Codewars, Square and Cube of a Number Become Prime When Reversed

Intersection of A059007 and A059008.

Select[Range[10^4], AllTrue[IntegerReverse@ {#^2, #^3}, PrimeQ] &] (* Michael De Vlieger, Oct 23 2018 *)

isok(n) = isprime(fromdigits(Vecrev(digits(n^2)))) && isprime(fromdigits(Vecrev(digits(n^3)))); \\ Michel Marcus, Oct 23 2018

from sympy import isprime
A320909_list = [n for n in range(1,10**6) if isprime(int(str(n**2)[::-1])) and isprime(int(str(n**3)[::-1]))] # Chai Wah Wu, Jan 24 2019

cp's OEIS Frontend

A059007 Numbers m such that m^2 reversed is a prime.

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Magma

Mathematica

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A059696 Primes p such that p^3 reversed is also prime.

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Magma

Mathematica

A232268 Numbers n such that reversal (n^3) plus 1 is prime.

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Maple

Mathematica

A320909 Numbers k such that k^2 and k^3, when reversed, are prime.

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Mathematica

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Python