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Dergiler / Turkish Journal of Mathematics and Computer Science / 2018 / Volume: 10 Special Issue

Notes on Sophie Germain Primes

Recep Baştan(GİRESUN ÜNİVERSİTESİ, FEN BİLİMLERİ ENSTİTÜSÜ)
Canan Akın(GİRESUN ÜNİVERSİTESİ)0000-0002-8922-3272
Sayfa
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Yayın Tarihi
2018-12-29
DOI
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Moreover we give an example in which we use our instructions to obtain the SG-S-prime pairs up to $250$.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:An elementary method for eliminating $2m$-prime pairs is given by Lampret [S.
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Temel Bulgular & Veri:Lampret, Sieving $2m$-prime pairs, Notes on Number Theory and Discrete Mathematics Vol. 20, 2014, No.3, 54-46.], where m is an arbitrary positive integer. 2m-prime pairs are related the twin prime pairs since a $2m$-prime pair is a twin prime pair if $m=1$.
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Sonuç & Katkı:Moreover we give an example in which we use our instructions to obtain the SG-S-prime pairs up to $250$.
🔬Tür:Conference Paper
📍Kapsam:2014 Verileri
⚙️Değişkenler:Prime number · Sophie Germain primes · Safe Primes

Abstract

An elementary method for eliminating $2m$-prime pairs is given by Lampret [S. Lampret, Sieving $2m$-prime pairs, Notes on Number Theory and Discrete Mathematics Vol. 20, 2014, No.3, 54-46.], where m is an arbitrary positive integer. 2m-prime pairs are related the twin prime pairs since a $2m$-prime pair is a twin prime pair if $m=1$. Lampret gave a characterization for 6n-prime pairs of the form $(6k - 1, 6k + 6n - 1)$. In section 2, the Sophie Germain prime and connected safe prime pairs are referred to as $SG$-$S$-prime pairs in short. By using Lampret's results, we focus on a characterization to obtain SG-S-prime pairs owing to an eliminating method. Thus it is formed instructions for a sieve as an elementary method to find the $SG$-$S$-prime pairs. Moreover we give an example in which we use our instructions to obtain the SG-S-prime pairs up to $250$.

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Bu Makaleye Atıf Yap

Baştan, R., Akın, C. (2018). Notes on Sophie Germain Primes. Turkish Journal of Mathematics and Computer Science, Volume: 10 Special Issue. https://ajindex.com/articles/1324895

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Kaynakça (12)

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