Prime Curios!: 53089

53089
(another Prime Pages' Curiosity)

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The positive-only integer series from the proximate-prime polynomial (PPP) 2n² - 2n + 53089 produces 634 primes in the first 1000 terms. This is more than for any other PPP derived from 4 successive primes under 1000000. As comparison, 582 primes are generated by the quadratic n² - n + 41. [Capelle]

Submitted: 2009-07-20 06:23:20; Last Modified: 2009-07-20 06:24:44.