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105 (another Prime Pages' Curiosity) |
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Paul Erdös conjectured that this is the largest number n such that the positive values of n - 2k are all prime. 105/pi4 = (1 + 1/24)(1 + 1/34)(1 + 1/54)(1 + 1/74)(1 + 1/114) .... [Ramanujan] The first product of 3 distinct odd primes p. Note that p +/- 2 are primes. [Gallardo] 105 is the first degree for which the cyclotomic polynom factor are not all 1, 0 or -1. [Cristian]
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