Burt Kaliski Jr. (@modulomathy)

3/23/12 11:49 AM

#math trivia for #March23: #83 has a “signature” of (1,2,3,6) modulo the primes (2,3,5,7). What’s the next number with this signature?

Because 2, 3, 5 and 7 are distinct primes (pairwise relatively prime would be sufficient), the signature repeats with a period equal to the product of the primes, i.e., 210. The next number with the signature is thus 293.

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