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

37, 37, 14123267, 47321411, 5664619381

Offset: 1

Author

James G. Merickel, Feb 05 2011

Keywords

• nonn
• base
• more

Comments

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

Examples

			23571113171923293137 is divisible by 67^2.
		

Crossrefs

Cf. A019518, A185656, A185659, A185662, A185665, A185671, A185677.

Programs

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

Extensions

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