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A116341
k times k+8 gives the concatenation of two numbers m and m+7.
6
82, 314, 679, 756, 952, 965, 3205775326418807415637845823789043451, 3230931606745075612526180113373983267, 3750967203300732832735999247776048870, 6249032796699267167264000752223951123, 6769068393254924387473819886626016726, 6794224673581192584362154176210956542
OFFSET
1,1
LINKS
EXAMPLE
965 * 973 = 938//945, where // denotes concatenation, so 965 is a term.
PROG
(Python)
from itertools import count, islice
from sympy import sqrt_mod
def A116341_gen(): # generator of terms
for j in count(0):
b = 10**j
a = b*10+1
for k in sorted(sqrt_mod(23, a, all_roots=True)):
if a*(b-7) <= k**2-23 < a*(a-8) and k>4:
yield k-4
A116341_list = list(islice(A116341_gen(), 20)) # Chai Wah Wu, Feb 21 2024
CROSSREFS
KEYWORD
nonn,base
AUTHOR
Giovanni Resta, Feb 06 2006
EXTENSIONS
a(10)-a(12) from Chai Wah Wu, Feb 21 2024
STATUS
approved