Irregularities in the distribution of primes in an arithmetic progression
نویسندگان
چکیده
منابع مشابه
Primes in arithmetic progression
Prime numbers have fascinated people since ancient times. Since the last century, their study has acquired importance also on account of the crucial role played by them in cryptography and other related areas. One of the problems about primes which has intrigued mathematicians is whether it is possible to have long strings of primes with the successive primes differing by a fixed number, namely...
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It has been a long conjecture that there are arbitrarily long arithmetic progressions of primes. As of now, the longest known progression of primes is of length 26 and was discovered by Benoat Perichon and PrimeGrid in April, 2010 ([1]): 43142746595714191+23681770·223092870n for n = 0, 1, · · · , 25. Many mathematicians have spent years trying to prove (or disprove) this conjecture, and even mo...
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ژورنال
عنوان ژورنال: Acta Arithmetica
سال: 1996
ISSN: 0065-1036,1730-6264
DOI: 10.4064/aa-77-2-173-177