A115429
Numbers k such that the concatenation of k with k+8 gives a square.
Original entry on oeis.org
6001, 6433, 11085116, 44496481, 96040393, 115916930617, 227007035017, 274101929528, 434985419768, 749978863753, 996004003993, 1365379857457948, 1410590590957816, 1762388551055953, 2307340946901148, 2700383162251217
Offset: 1
6001//6009 = 7747^2, where // denotes concatenation.
96040393//96040400 = 98000200 * 98000202.
96040393//96040397 = 98000199 * 98000203.
96040393//96040392 = 98000198 * 98000204.
Cf.
A030465,
A102567,
A115426,
A115437,
A115428,
A115430,
A115431,
A115432,
A115433,
A115434,
A115435,
A115436,
A115440.
A116130
Numbers k such that k concatenated with k-4 gives the product of two numbers which differ by 5.
Original entry on oeis.org
8, 98, 590, 738, 830, 998, 1080, 4508, 9998, 20660, 29754, 99998, 980300, 999998, 6694218, 9999998, 49826988, 99999998, 117738578, 131505858, 132231404, 176445054, 177285320, 247979808, 252028388, 335180054, 336337790
Offset: 1
7531357568//7531357564 = 8678339452 * 8678339457, where // denotes concatenation.
A116125
Numbers k such that k concatenated with k-5 gives the product of two numbers which differ by 6.
Original entry on oeis.org
7, 97, 205, 300, 477, 732, 997, 1920, 3157, 9997, 52896, 99997, 120085, 427020, 999997, 8264460, 9999997, 88581312, 99999997, 112000885, 112917765, 143075580, 152863360, 193537077, 233788192, 266755221, 313680096
Offset: 1
6786111717//6786111712 = 8237785936 * 8237785942, where // denotes concatenation.
A116132
Numbers k such that k concatenated with k-4 gives the product of two numbers which differ by 7.
Original entry on oeis.org
74, 59264, 510782, 906902, 81790664, 92776472, 10876856041862, 11796926254874, 18332259798794, 18388650720624, 32624670587648, 32699883214248, 43103618706398, 44916698243804, 66132258426302
Offset: 1
92776472//92776468 = 96320541 * 96320548, where // denotes concatenation.
A116262
n times n+6 gives the concatenation of two numbers m and m-4.
Original entry on oeis.org
42, 53, 38160, 61835, 83615, 346977, 653018, 950048, 8647552, 9534262, 8167822280, 9007920989, 9209900789, 9950000498, 4737445289218, 4990568257184, 5009431742811, 5262554710777, 8373808925582
Offset: 1
Showing 1-5 of 5 results.
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