Geodesic
Variants of Korselt’s Criterion
Canadian mathematical bulletin, Tome 58 (2015) no. 4, pp. 869-876

Voir la notice de l'article provenant de la source Cambridge University Press

Under sufficiently strong assumptions about the first term in an arithmetic progression, we prove that for any integer $a$ , there are infinitely many $n\,\in \,\mathbb{N}$ such that for each prime factor $p\,\text{ }\!\!|\!\!\text{ }\,n$ , we have $p\,-\,a\,\text{ }\!\!|\!\!\text{ }\,n\,-\,a$ . This can be seen as a generalization of Carmichael numbers, which are integers $n$ such that $p\,-\,1\,\text{ }\!\!|\!\!\text{ }\,n\,-\,1$ for every $p\,\text{ }\!\!|\!\!\text{ }\,n$ .
DOI : 10.4153/CMB-2015-027-3
Mots-clés : 11A51, Carmichael number, pseudoprime, Korselt’s Criterion, primes in arithmetic progressions 
Wright, Thomas. Variants of Korselt’s Criterion. Canadian mathematical bulletin, Tome 58 (2015) no. 4, pp. 869-876. doi: 10.4153/CMB-2015-027-3
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