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> Senary may be considered interesting in the study of prime numbers, since all primes other than 2 and 3, when expressed in senary, have 1 or 5 as the final di
by pcmaffey 8y ago
> Senary may be considered interesting in the study of prime numbers, since all primes other than 2 and 3, when expressed in senary, have 1 or 5 as the final digit.
https://en.wikipedia.org/wiki/Senary https://en.wikipedia.org/wiki/Senary
I expressed it poorly, but not as you state, incorrectly.
- dragonwriter 8y ago> I expressed it poorly, but not as you state, incorrectly. No, really, it is completely incorrect to use “multiple of X in base Y” to mean “have X as the final digit in base Y” (which is equivalent to “is congruent to X modulo Y.”) 13 is not, in base 10 (or anywhere else), a multiple of 3.[0] That's just not what “multiple” means. [0] Well, the number denoted by the digits “13” in any base that is itself a multiple of 3—other than base 3 itself where “13” is not a valid number—is a multiple of 3, obviously, but we're talking about the number represented by “13” in base 10.
- spenczar5 8y agoHaving x as a final digit does not make a number a multiple of x. For example, 13 is not a multiple of 3 in base 10.