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All Journal APOTEMA : Jurnal Program Studi Pendidikan Matematika Jurnal Ilmiah Soulmath : Jurnal Edukasi Pendidikan Matematika Jurnal ABDIKU
Moh. Affaf, Moh.
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Religion Education Languange, Linguistic, Communication & Media Mathematics Social Sciences

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Journal : APOTEMA : Jurnal Program Studi Pendidikan Matematika

 1 
BILANGAN SEMPURNA GENAP DAN KEPRIMAAN BILANGAN MERSENNE Affaf, Moh.
APOTEMA : Jurnal Program Studi Pendidikan Matematika Vol 2 No 2 (2016): Apotema: Jurnal Program Studi Pendidikan Matematika
Publisher : Penerbit STKIP PGRI Bangkalan

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Abstract

Suatu bilangan asli dikatakan bilangan sempurna jika dan hanya jikajumlah semua pembagi positif dari selain adalah Pada Jamannya,Euler menemukan ciri untuk suatu bilangan genap merupakan bilangansempurna, yaitu bilangan itu harus mengandung bilangan primamersenne. Oleh karenanya, dalam pembahasan bilangan sempurnagenap diperlukan juga suatu prosedur untuk menyatakan suatu bilanganmersenne prima atau bukan. Untuk mencapai hal tersebut, maka dalampenelitian ini juga dihadirkan suatu prosedur untuk menyatakan suatubilangan mersenne prima atau bukan. Tes ini dikenal dengan nama TesLucas-Lehmer.
Desimal Berulang untuk suatu Numerator Affaf, Moh.
APOTEMA : Jurnal Program Studi Pendidikan Matematika Vol 4 No 2 (2018): APOTEMA: Jurnal Program Studi Pendidikan Matematika
Publisher : Penerbit STKIP PGRI Bangkalan

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Abstract

Let 𝑛 denote a positive integer relatively prime to 10 and 𝑚 be natural number less than 𝑛 and relatively prime to 𝑛. Let the period of 𝑚𝑛be 𝑎𝑏with 𝑏 > 1. Break the repeating block of 𝑎𝑏 digits up into 𝑏 sub blocks, each of length 𝑎, and let 𝐵(𝑛𝑚, 𝑎, 𝑏) denote the sum of these 𝑏 blocks. In 1836 has been proved and re-proofed in 2013 that if 𝑝 is a prime greater than 5, and the period of 1𝑝is 2𝑎, then 𝐵(𝑝1, 𝑎, 2) = 10𝑎 − 1. In 2004, has been showed that if 𝑝 is a prime greater than 5, and the period of 1𝑝is 3𝑎, then 𝐵(𝑝1, 𝑎, 3) = 10𝑎 − 1. In 2005, also was showed that if 𝑝 is a prime greater than 5, and the period of 1𝑝is 𝑎𝑏, then 𝐵(𝑝1, 𝑎, 3) is multiply of 10𝑎 − 1. In 2007, study of repeating decimal of 1𝑛is expanded, that 𝑛 dont have to prime greater than 5, but just relatively prime to 10. In this paper, will be investigated property of repeating decimal of 𝑚𝑛with 𝑚 dont have to equal to 1, but enough less than 𝑛and relatively prime to 𝑛.
DESIMAL BERULANG UNTUK SUATU NUMERATOR Affaf, Moh.
APOTEMA : Jurnal Program Studi Pendidikan Matematika Vol 4 No 2 (2018): APOTEMA: Jurnal Program Studi Pendidikan Matematika
Publisher : Penerbit STKIP PGRI Bangkalan

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Abstract

Let denote a positive integer relatively prime to 10 and m be natural number less than n and relatively prime to n. Let the period of be m/n with ab > 1. Break the  repeating block of ab digits up into b sub blocks, each of length a, and let
Co-Authors Buaddin Hasan, Buaddin Sintiya, Ambar Ulum, Zauful