A185698 Final prime adjoined in the smallest term of A019518 divisible by 67^n.

37, 37, 14123267, 47321411, 5664619381

Offset

1,1

Comments

Associated with A019518(i) at i = 12, 12, 917579, 2849864, ...

Links

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

Example

23571113171923293137 is divisible by 67^2.

Prog

(Python)
from sympy import nextprime
def A185698(n):
    p, k, m = 2, 67**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. A019518, A185656, A185659, A185662, A185665, A185671, A185677.

Sequence in context: A165858 A217544 A190839 * A043611 A296871 A346383

Adjacent sequences: A185695 A185696 A185697 * A185699 A185700 A185701

Keyword

nonn,base,more

Author

James G. Merickel, Feb 05 2011

Extensions

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

Status

approved