43037

Properties

Appears in sequences

• Number of partitions of n of the form a_1*b_1^2 + a_2*b_2^2 + ...; number of semisimple rings with p^n elements for any prime p.at n=35A004101
• Numerators of continued fraction convergents to sqrt(782).at n=4A042508
• Triangle read by rows: Each row is constructed by forming the partial sums of the previous row, reading from the right and at every third row repeating the final term.at n=45A099961
• Second column of triangle in A099961.at n=12A099967
• Primes p such that 2p + 3, 4p + 9, 3p + 2 and 9p + 8 are also primes.at n=19A176619
• Fajtlowicz p-primes.at n=41A185955
• Primes p such that both (p^2 + 5)/6 and (p^4 + 5)/6 are prime.at n=31A253925
• a(n) is the least k such that A033273(k) is equal to (A033273(n*k + 1) - 1)/n where A033273(n) is the number of nonprime divisors of n.at n=27A352256
• Regarding A381019 as a permutation of the natural numbers, this is the cycle with smallest term 8, read in the forward direction.at n=8A382711
• Prime numbersat n=4498