A116202
Numbers k such that k concatenated with k+6 gives the product of two numbers which differ by 8.
Original entry on oeis.org
7, 54, 234, 267, 894, 58227, 7962242238271227055830015496107, 60153956829051761181170060654114714579377214308482459, 2019668016997743800626449453386765007975459365956534868322001037107, 3031524678136833532602149525055953135725227119574025423809994922862
Offset: 1
58227//58233 = 76303 * 76311, where // denotes concatenation.
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from itertools import count, islice
from sympy import sqrt_mod
def A116202_gen(): # generator of terms
for j in count(0):
b = 10**j
a = b*10+1
for k in sorted(sqrt_mod(22,a,all_roots=True)):
if a*(b-6) <= k**2-22 < a*(a-7) and k>4:
yield (k**2-22)//a
A116202_list = list(islice(A116202_gen(),7)) # Chai Wah Wu, Feb 21 2024
A116197
Numbers k such that k concatenated with k+5 gives the product of two numbers which differ by 9.
Original entry on oeis.org
25, 2448207281, 2552334847, 9492271895, 10713024775597019390267617, 45251510049471045364918031, 99414584492459886818648287, 1000584180267191789271991959007645
Offset: 1
A116211
Numbers k such that k concatenated with k+7 gives the product of two numbers which differ by 9.
Original entry on oeis.org
1953, 3115, 6153, 1016574047215119910181525023, 2440558249789368730986767575, 2560156942576450203707692923, 4639822375038697733267413875, 4868700733912235016077891029
Offset: 1
6153//6160 = 7840 * 7849, where // denotes concatenation.
A116334
n times n+9 gives the concatenation of two numbers m and m+6.
Original entry on oeis.org
45, 47, 3180, 3454, 6538, 6812, 32423077888994073533, 47028976905526474404, 49049512306209075907, 50950487693790924085, 52971023094473525588, 67576922111005926459, 71498432899270376140, 75216895567882908524
Offset: 1
6812 * 6821 = 4646//4652, where // denotes concatenation.
Showing 1-4 of 4 results.