A236437 Primes which occur in their proper place in A236174.

2, 263, 269, 347, 397, 431, 461, 479, 499, 569, 599, 607, 677, 683, 719, 769, 797, 821, 929, 941, 1019, 1031, 1049, 1051, 1061, 1069, 1103, 1181, 1223, 1229, 1237, 1297, 1307, 1367, 1399, 1409, 1439, 1453, 1487, 1489, 1523, 1553, 1559, 1571, 1619, 1637, 1733, 1759, 1811, 1823, 1949, 1973, 1997

Offset

1,1

Comments

Primes p such that A236174(k) = prime(k) for some k. The values of k are (essentially) given in A235377.

Same as A052033 if the initial 2 is omitted.

Links

Chai Wah Wu, Table of n, a(n) for n = 1..10000

Example

263 is the 56th prime and is also the 56th term in A236174.

Prog

(Python)
from sympy import prime, isprime
def A236174(n):
....p = prime(n)
....for b in range(2, 11):
........x, y, z = p, 0, 1
........while x >= b:
............x, r = divmod(x, b)
............y += r*z
............z *= 10
........y += x*z
........if isprime(y):
............return y
A236437_list = [prime(n) for n in range(1, 10**6) if A236174(n) == prime(n)]
# Chai Wah Wu, Jan 03 2015

Crossrefs

Cf. A052033, A236174, A235377, A235354.

Sequence in context: A252708 A103029 A122862 * A137105 A216984 A007082

Adjacent sequences: A236434 A236435 A236436 * A236438 A236439 A236440

Keyword

nonn,base

Author

N. J. A. Sloane, Jan 25 2014

Status

approved