A059210 -id:A059210 - 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

A350363 Primes whose reversal is a ninth power.

Original entry on oeis.org

23888027348153, 17571893445665616311, 3627487775963728773631, 5213075488148035940813, 232364835105859429802371, 1648344985192619771689693, 6522990445513252220198849, 6771520922071318266744521, 23295376285906990980268061, 29758574646480445207299379

Offset: 1

Mohammed Yaseen, Dec 27 2021

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Cf. A002239, A004086, A059210.

Primes whose reversal is a k-th power: A007488 (k=2), A057699 (k=3), A058996 (k=4), A059000 (k=5), A059001 (k=6), A059002 (k=7), A059003 (k=8), A059005 (k=10).

Union[(i=IntegerReverse)@Select[Range@1000^9,PrimeQ@i@#&]] (* Giorgos Kalogeropoulos, Jan 04 2022 *)
Select[IntegerReverse/@(Range[1000]^9),PrimeQ]//Union (* Harvey P. Dale, Nov 27 2024 *)

flip(n)=fromdigits(Vecrev(digits(n))) \\ A004086
Set(select(isprime, vector(1000, n, flip(n^9)))) \\ adapted from A057699

from sympy import isprime
flip9 = (int(str(k**9)[::-1]) for k in range(1, 1000) if k%10)
print(sorted(filter(isprime, flip9))) # Michael S. Branicky, Jan 02 2022

A059702 Primes p such that p^9 reversed is also prime.

Original entry on oeis.org

131, 223, 541, 769, 811, 829, 967, 1021, 1259, 1669, 2087, 2089, 2153, 2203, 2239, 2699, 2777, 2851, 3163, 3499, 3767, 4159, 4507, 4591, 4721, 4999, 6271, 7673, 9649, 10067, 10427, 10639, 10709, 10789, 11443, 11549, 12547, 13259, 13337, 14737

Offset: 1

Robert G. Wilson v, Feb 06 2001

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

Cf. A059210.

[p: p in PrimesUpTo(15000)|IsPrime(Seqint(Reverse(Intseq(p^9))))]; // Vincenzo Librandi, Apr 12 2013

Select[ Range[ 17000 ], PrimeQ[ # ] && PrimeQ[ ToExpression[ StringReverse[ ToString[ #^9 ] ] ] ] & ]

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

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A350363 Primes whose reversal is a ninth power.

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A059702 Primes p such that p^9 reversed is also prime.

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Magma

Mathematica