A185680
Final prime adjoined in the smallest term of A019518 divisible by 37^n.
Original entry on oeis.org
1051, 10037, 14029, 614659, 106458763, 78505687129
Offset: 1
A185704
Final prime adjoined in the smallest term of A019518 divisible by 73^n.
Original entry on oeis.org
593, 23909, 4851169, 84821071, 13231167673
Offset: 1
-
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
A185695
Final prime adjoined in the smallest term of A019518 divisible by 61^n.
Original entry on oeis.org
23, 41719, 308537, 270907253, 28643801327
Offset: 1
-
from sympy import nextprime
def A185695(n):
p, k, m = 2, 61**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
A185698
Final prime adjoined in the smallest term of A019518 divisible by 67^n.
Original entry on oeis.org
37, 37, 14123267, 47321411, 5664619381
Offset: 1
23571113171923293137 is divisible by 67^2.
-
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
A185674
Final prime added in the smallest term of A019518 divisible by 29^n.
Original entry on oeis.org
13, 4783, 251513, 17958713, 244826371, 19062911531
Offset: 1
23571113 is divisible by 29, but it's necessary to concatenate through 4783 to get a number divisible by 29^2.
A185686
Final prime adjoined in the smallest term of A019518 divisible by 47^n.
Original entry on oeis.org
5, 15149, 186191, 21897151, 14431069151
Offset: 1
A185689
Final prime adjoined in the smallest term of A019518 divisible by 53^n.
Original entry on oeis.org
1153, 5519, 1288769, 608227163, 3059326339
Offset: 1
A185692
Final prime adjoined in the smallest term of A019518 divisible by 59^n.
Original entry on oeis.org
149, 409, 2216519, 45510791, 11543761309
Offset: 1
A185701
Final prime adjoined in the smallest term of A019518 divisible by 71^n.
Original entry on oeis.org
173, 54851, 4340267, 822527543
Offset: 1
A185707
Final prime adjoined in the smallest term of A019518 divisible by 79^n.
Original entry on oeis.org
173, 52237, 19366099, 207681823
Offset: 1
Showing 1-10 of 13 results.
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