A117322 -id:A117322 - cp's OEIS frontend

A117325 Indices of primes in A117322 prime(n) modulo semiprime(n).

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 16, 22, 25, 29, 33, 35, 50, 64, 73, 76, 82, 88, 100, 115, 120, 169, 174, 176, 188, 194, 202, 211, 214, 218, 249, 265, 325, 354, 363, 369, 370, 371, 372, 373, 374, 378, 379, 380, 384, 385, 386, 393, 394, 395, 396, 399, 400

Offset: 1

Jonathan Vos Post, Mar 08 2006

			a(60) = 400 because semiprime(400) = 1355, prime(400) = 2741 and
2741 == 31 mod 1355, where 31 is prime.

n such that A117322(n) is prime. n such that A000040(n) modulo A001358(n) is in A000040.

A117326 Indices of semiprimes in A117322 prime(n) modulo semiprime(n).

Original entry on oeis.org

13, 17, 18, 20, 21, 27, 28, 30, 32, 41, 42, 43, 46, 47, 49, 53, 55, 56, 58, 59, 63, 69, 72, 75, 81

Offset: 1

Jonathan Vos Post, Mar 08 2006

			a(1) = 13 because A117322(13) = prime(13) modulo semiprime(13) = 41 mod 35 = 6 = 2 * 3 is semiprime.
a(2) = 17 because A117322(17) = 59 mod 49 = 10 = 2 * 5 is semiprime.
a(3) = 18 because A117322(18) = 61 mod 51 = 10 = 2 * 5 is semiprime.
a(4) = 20 because A117322(20) = 71 mod 57 = 14 = 2 * 7 is semiprime.

A117324 Prime(10^n) modulo semiprime(10^n).

Original entry on oeis.org

2, 3, 227, 729, 22965, 380555, 156346, 10920166, 202913258, 2973399074, 39284376410, 489544827463, 5874954672992

Offset: 0

Jonathan Vos Post, Mar 08 2006

			prime(10^0) modulo semiprime(10^0) = 2 mod 4 = 2.
prime(10^1) modulo semiprime(10^1) = 29 mod 26 = 3.
prime(10^2) modulo semiprime(10^2) = 541 mod 314 = 227.

a(n) = A000040(10^n) modulo A001358(10^n). a(n) = A117322(10^n). a(n) = A006988(n) modulo A114125(n).

a(12) from Zak Seidov

cp's OEIS Frontend

A117325 Indices of primes in A117322 prime(n) modulo semiprime(n).

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A117326 Indices of semiprimes in A117322 prime(n) modulo semiprime(n).

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A117324 Prime(10^n) modulo semiprime(10^n).

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