19079

Properties

Appears in sequences

• Tetranacci numbers: a(n) = a(n-1) + a(n-2) + a(n-3) + a(n-4), with initial conditions a(0..3) = (0, 0, 1, 0).at n=19A001631
• a(n) = A027113(n, n+4).at n=9A027117
• a(n) = A027113(n, 2n-9).at n=8A027127
• Primes p such that 2^j+p^j are primes for j=0,1,4,32.at n=2A094489
• Number of primes whose binary expansion begins '11' (A080166) in range ]2^n,2^(n+1)].at n=18A095766
• Prime differences of tetranacci numbers.at n=23A113244
• Primes congruent to 22 mod 59.at n=33A142749
• Primes congruent to 47 mod 61.at n=36A142845
• Primes p such that all the digits needed to write the consecutive Primes from 2 to p fill exactly a square (no holes, no overlaps).at n=24A158024
• List of 4-tuples of twin primes q, p, p+2 and q+2 such that 3*q<p<(p+2)<3*(q+2).at n=25A177335
• Supersafe primes.at n=33A181841
• Smallest prime greater than n*(n+1)^2/2.at n=33A181956
• Primes p such that p+2 and q are primes, where q is concatenation of binary representations of p and p+2: q = p * 2^L + p+2, where L is the length of binary representation of p+2: L=A070939(p+2).at n=19A232238
• Primes in tetranacci sequence A001631.at n=3A247028
• Consider two consecutive primes {p,q} such that P=2p+q and Q=2q+p are both prime. The sequence gives primes P.at n=40A248482
• a(1) = 2; thereafter, a(n) is the smallest prime not yet used which is compatible with the condition that a(n) is a non-quadratic residue modulo a(k) for the next n indices k = n + 1, n + 2, ..., 2n.at n=22A249797
• Lesser of twin primes such that sum of twin prime pair is the sum of 2 nonzero squares.at n=34A270245
• Modified quadranacci series.at n=48A274759
• G.f.: Product_{k>=1, j>=1} 1/(1 - x^(j*k^3)).at n=35A280661
• Number of nX3 0..1 arrays with every element unequal to 0, 2, 3 or 5 king-move adjacent elements, with upper left element zero.at n=14A304005