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A236437 Primes which occur in their proper place in A236174. 5
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified March 18 22:10 EDT 2019. Contains 321305 sequences. (Running on oeis4.)