34057

Properties

Appears in sequences

• a(n) = (10*n^3 - 9*n^2 + 2*n)/3 + 1.at n=22A034721
• Numerators of continued fraction convergents to sqrt(568).at n=6A042088
• Row sums of partition triangle A026820.at n=24A058397
• Antidiagonal sums of square array A082025.at n=35A082190
• Largest of six consecutive primes the sum of the digits of each of which is prime.at n=23A106720
• Primes of the form 47*n^2 - 1701*n + 10181.at n=23A128878
• Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (0, -1, 0), (0, 1, -1), (0, 1, 1), (1, 0, 0)}.at n=8A150499
• Primes p such that both pi(p) and the concatenation of pi(p) and p are prime, where pi is the prime counting function.at n=44A155032
• a(n+1) is the smallest divisor of a(n)^2+1 that does not yet appear in the sequence, with a(1) = 1.at n=26A166134
• Primes of the form 2*n^2+6*n+1.at n=20A176549
• Primes of the form (n^2+1)/26.at n=25A208292
• Number of nX3 0..3 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of elements above it or two plus the sum of the elements diagonally to its northwest, modulo 4.at n=8A239845
• Primes of form n^2 + 1296.at n=19A256834
• Smallest prime starting a sequence of 4 consecutive odd primes such that the center of the symmetrical gaps is 2n.at n=30A263171
• Primes that can be generated by the concatenation in base 7, in ascending order, of two consecutive integers read in base 10.at n=28A287308
• Number of Dyck paths of semilength n such that each level has exactly three peaks or no peaks.at n=15A288110
• a(n) is the least prime p such that the second forward difference of three consecutive primes p, q and r is n = (p - 2q + r)/2.at n=29A316791
• Prime numbers P such that Q=2*P-1, R=4*Q+1, S=6*R+1, T=8*S-1, U=10*T+1 and V=12*U-1 are all prime numbers.at n=1A330304
• Primes p such that (p+nextprime(p))/6 is prime and 6*p is the sum of two consecutive primes.at n=34A339775
• Prime numbersat n=3643