A185704 Final prime adjoined in the smallest term of A019518 divisible by 73^n.

593, 23909, 4851169, 84821071, 13231167673

Offset

1,1

Comments

Associated with A019518(i) at i = 108, 2660, 338775, 4933945,...

Links

Table of n, a(n) for n=1..5.

Prog

(Python)
from sympy import nextprime
def A185704(n):
    p, k, m = 2, 73**n, 10
    q, m2 = p % k, m % k
    while True:
        p = nextprime(p)
        while p >= m:
            m *= 10
            m2 = m % k
        q = (q*m2 + p) % k
        if q == 0:
            return p # Chai Wah Wu, May 01 2020

Crossrefs

Cf. A185656, A185659, A185662, A185665, A185671, A185677, A185680.

Sequence in context: A129191 A078960 A185515 * A025337 A294715 A294713

Adjacent sequences: A185701 A185702 A185703 * A185705 A185706 A185707

Keyword

nonn,base,more

Author

James G. Merickel, Feb 05 2011

Extensions

a(5) from Chai Wah Wu, May 01 2020

Status

approved