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Lucky numbers of Euler
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Lucky numbers of Euler : ウィキペディア英語版
Lucky numbers of Euler
Euler's "lucky" numbers are positive integers ''n'' such that ''x''2 + ''x'' + ''n'' is a prime number for ''x'' = 0, ..., ''n'' − 2.
Leonhard Euler published the polynomial ''x''2 + ''x'' + 41 which produces prime numbers for all integer values of ''x'' from 0 to 39. Obviously, when ''x'' is equal to 40, the value cannot be prime anymore since it is divisible by 41. Only 6 numbers have this property, namely 2, 3, 5, 11, 17 and 41 .
These numbers are not related to the lucky numbers generated by a sieve algorithm.
==See also==

*Heegner number
*List of topics named after Leonhard Euler
*Formula for primes

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「Lucky numbers of Euler」の詳細全文を読む



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