Thursday, May 16, 2013

341

341 = 11 x 31.

341 is 101010101 in base 2 (binary). It is 11111 in base 4.

341 is an octagonal number and a centered cube number.

341 is the first composite number to disprove an ancient Chinese conjecture (circa 500 B.C.) that n is a prime number if and only if n divides the number 2n - 2. The number 2341 - 2 is divisible by 341, a composite number. 341 is the smallest pseudoprime in base 2.

341 is the sum of seven consecutive primes: 341 = 37 + 41 + 43 + 47 + 53 + 59 + 61.

341 = 40 + 41 + 42 + 43 + 44.

341 is the smallest number with seven representations as a sum of three positive squares: 341 = 12 + 42 + 182 = 12 + 122 + 142 = 22 + 92 + 162 = 42 + 62 + 172 = 42 + 102 + 152 = 62 + 72 + 162 = 82 + 92 + 142.


Source: Number Gossip

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