Stern prime

If for a given prime number $q$ there is no smaller prime $p$ and nonzero integer $b$ such that $q=2b^{2}+p$ , then $q$ is a Stern prime. These primes were first studied by Moritz Abraham Stern, in connection to a lesser known conjecture of Goldbach’s. Like other mathematicians of the time, Stern considered 1 to be a prime number. Thus his list of Stern primes read thus: 2, 17, 137, 227, 977, 1187, 1493. A century later the list has been amended to include 3 (as in A042978 of Sloane’s OEIS) but no terms larger than 1493 have been found. The larger of a twin prime is not a Stern prime.

单词	SternPrime
释义	Stern prime If for a given prime number $q$ there is no smaller prime $p$ and nonzero integer $b$ such that $q=2b^{2}+p$ , then $q$ is a Stern prime. These primes were first studied by Moritz Abraham Stern, in connection to a lesser known conjecture of Goldbach’s. Like other mathematicians of the time, Stern considered 1 to be a prime number. Thus his list of Stern primes read thus: 2, 17, 137, 227, 977, 1187, 1493. A century later the list has been amended to include 3 (as in A042978 of Sloane’s OEIS) but no terms larger than 1493 have been found. The larger of a twin prime is not a Stern prime.
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