login
A114019
Largest n-digit prime whose digit reversal is also prime.
4
7, 97, 991, 9967, 99989, 999983, 9999971, 99999827, 999999893, 9999999967, 99999999977, 999999999959, 9999999999799, 99999999999959, 999999999999877, 9999999999999571, 99999999999997997, 999999999999999737, 9999999999999999719, 99999999999999999631
OFFSET
1,1
LINKS
Michael S. Branicky, Table of n, a(n) for n = 1..527
MATHEMATICA
f[n_] := Block[{k = 10^n}, While[ !PrimeQ[k] || !PrimeQ[FromDigits@Reverse@IntegerDigits@k], k-- ]; k]; Array[f, 19] (* Robert G. Wilson v, Nov 19 2005 *)
Table[Module[{p=NextPrime[10^e, -1]}, While[CompositeQ[IntegerReverse[p]], p=NextPrime[p, -1]]; p], {e, 20}] (* Harvey P. Dale, Mar 01 2025 *)
PROG
(Python)
from sympy import isprime
def c(n): return isprime(n) and isprime(int(str(n)[::-1]))
def a(n): return next(p for p in range(10**n-1, 10**(n-1), -2) if c(p))
print([a(n) for n in range(1, 21)]) # Michael S. Branicky, Jun 27 2022
CROSSREFS
Cf. A113018.
Sequence in context: A071361 A007810 A146758 * A178007 A241206 A127892
KEYWORD
base,nonn,changed
AUTHOR
Amarnath Murthy, Nov 12 2005
EXTENSIONS
More terms from Robert G. Wilson v, Nov 19 2005
a(19) and beyond from Michael S. Branicky, Jun 27 2022
STATUS
approved