World!Of Numbers |
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[ October 3, 2000 ] I'd like to submit to the devoted number lovers the following rather hard puzzle
Click here to see how Roberto |
95 | 174191 | 298687992 | |||||||
---|---|---|---|---|---|---|---|---|---|
+ 5.19 =![]() | ![]() 7.17 = | + 373.467 =![]() | ![]() 383.457 = | + 2.2.2.3.179.251.277 =![]() | ![]() 2.2.17.53.179.463 = | ||||
119 | 175031 | 298688708 | |||||||
+ 7.17 =![]() | ![]() 11.13 = | + 383.457 =![]() | ![]() 397.443 = | + 2.2.17.53.179.463 =![]() | ![]() 2.2.2.2.11.19.179.499 = | ||||
143 | 175871 | 298689424 | |||||||
![]() | 1 SOPF = 24 | ![]() | 2 SOPF = 840 | ![]() | 3 SOPF = 716 ![]() | ![]() |
![]() ![]() ![]() ![]() of the factors of the second set starting from 443. It starts with a 4, then a 5, then a ... up to and then finally a 9 in factor 397. 373 * 467 383 * 457 397 * 443 ![]() Common prime divisor of the members of the composite triplet (298687992, 298688708, 298689424) which are in a bi-directional 'sum of prime factors' (i.e., 716) progression/retrogression. ![]() Some OEIS entries A050780 - (n + sopf_n = m) and (m - sopf_m = n). Sequence gives values of n. A050781 - (n + sopf_n = m) and (m - sopf_m = n). Sequence gives values of m. A057874 - Sets of three composites in bidirectional 'sum of prime factors' progression/retrogression. ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
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