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.
A116297
Numbers k such that k*(k+4) gives the concatenation of two numbers m and m+1.
Original entry on oeis.org
2, 5, 43, 54, 38161, 61836, 83616, 346978, 653019, 950049, 8647553, 9534263, 8167822281, 9007920990, 9209900790, 9950000499, 4737445289219, 4990568257185, 5009431742812, 5262554710778, 8373808925583
Offset: 1
A116316
Numbers k such that k*(k+3) gives the concatenation of two numbers m and m+4.
Original entry on oeis.org
386, 430, 568, 612, 815, 4522, 5476, 90911, 316833, 683165, 3636365, 6363633, 82352943, 331668333, 368421054, 395604392, 442767755, 461538463, 488721801, 511278197, 538461535, 557232243, 604395606, 631578944, 668331665
Offset: 1
A116318
n times n+6 gives the concatenation of two numbers m and m+4.
Original entry on oeis.org
32, 63, 45211540, 54788455, 78317867, 72388446037855609175404257, 73247326752475247326752672, 75267524732673267524732472, 76126405447292905676080887, 42053270820132695893502981749303
Offset: 1
78317867 * 78317873 = 61336887//61336891, where // denotes
concatenation.
A116323
n times n+4 gives the concatenation of two numbers m and m+5.
Original entry on oeis.org
463, 534, 716, 820, 3426, 6571, 90905, 980200, 3636359, 6363638, 41176466, 58823531, 413533836, 426573428, 428571424, 432620007, 567379990, 571428573, 573426569, 586466161, 686261109, 725274727, 727272723, 731321306
Offset: 1
Showing 1-5 of 5 results.
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