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For n = 9, the 9th Mersenne prime index is A000043(9) = 61 and a(9) = 61 mod 23 = 15.
Exponents p of the Mersenne primes 2^p - 1 (see A000043) read mod 23.
2, 3, 5, 7, 13, 17, 19, 8, 15, 20, 15, 12, 15, 9, 14, 18, 4, 20, 21, 7, 6, 5, 12, 19, 12, 2, 15, 16, 11, 6, 6, 1, 15, 9, 7, 21, 5, 5, 3, 1, 19, 21, 22, 6, 6, 7, 6, 3
C. Chris K. Caldwell, <a href="http://www.utm.edu/research/primes/largest.html#largest">Recent Mersenne primes</a>.
W. Walter Wegscheider, <a href="http://www.austromath.at/mersenne/mersenne-primzahlen.html">Liste der Mersenne-Primzahlen</a>, Pädagogische Hochschule für Niederösterreich (in German).
a(n) = A000043(n) mod 23.
nonn,more,less
a(48) from Amiram Eldar, Oct 15 2024
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