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 A208892 Two distinct sets of n consecutive numbers with identical corresponding prime signatures. 3
 2, 3, 6, 7, 10, 11, 11, 12, 13, 17, 18, 19, 68, 69, 70, 71, 76, 77, 78, 79, 130, 131, 132, 133, 134, 138, 139, 140, 141, 142, 88, 89, 90, 91, 92, 93, 232, 233, 234, 235, 236, 237, 658, 659, 660, 661, 662, 663, 664, 1090, 1091, 1092, 1093, 1094, 1095, 1096 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS The sets are chosen to minimize the larger of the two start values, so for example, (6,7) and (10,11) would be chosen over (5,6) and (13,14) since 10 is less than 13. The sequence can be read as follows: 2,                           3, 6,7,                         10,11, 11,12,13,                    17,18,19, 68,69,70,71,                 76,77,78,79, 130,131,132,133,134,         138,139,140,141,142 88,89,90,91,92,93,           232,233,234,235,236,237 658,659,660,661,662,663,664, 1090,1091,1092,1093,1094,1095,1096 etc LINKS Matthijs Coster, improved Sage program for computing A208892 EXAMPLE At n=4, the consecutive numbers 68, 69, 70, and 71 have the same prime signature as 76, 77, 78, and 79.  Both have the form p^2*q, p*q, p*q*r, and p, respectively. CROSSREFS Cf. A208893, A208894. Cf. A046523 (smallest number with same prime signature as n). Sequence in context: A006877 A328832 A263881 * A085397 A307414 A073439 Adjacent sequences:  A208889 A208890 A208891 * A208893 A208894 A208895 KEYWORD nonn,tabf AUTHOR Matthijs Coster, Mar 03 2012 STATUS approved

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Last modified July 30 22:16 EDT 2021. Contains 346365 sequences. (Running on oeis4.)