Problems & Puzzles: Puzzles

Puzzle 1152 7107379973 G.L. Honaker, Jr. sent the following nice puzzle: 7107379973 is a brilliant number (semiprimes, products of two primes, A001358) whose prime factors have the same number of decimal digits) whose prime factors (72053 × 98641) are together 10-pandigital. Q1 Can you find another one like this? [Honaker]

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From Nov 25 to Dec 1 contributions came from Giorgos Kalogeropoulos, Vicente Felipe Izquierdo, Emmanuel Vantieghem, Mchael Branicky, Gennady Gusev, Paul Cleary, Oscar Volpatti, JM Rebert & Shyam Sunder Gupta.

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All of them found that the total solutions are 14,676 and sent all of these solutions in distinct forms equivalent. I have chosen the sent by Mr. Izquierdo because it shows ordered and numbered: Pu1152 VFI.txt 

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Giorgos added:

Out of these 14676 semiprimes there are only 6 with an extra property that all digits of the semiprime are distinct:402158963, 587290463, 762450389, 806519327, 890142563, 962875031

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