19477

Properties

Appears in sequences

• Representation degeneracies for boson strings.at n=37A005291
• Second member of a sexy prime quadruple: value of p+6 such that p, p+6, p+12 and p+18 are all prime.at n=34A046122
• Smallest prime in n-th shell of prime spiral.at n=24A053998
• Second term of balanced prime quartets: p(m)-p(m-1) = p(m+1)-p(m) = p(m+2)-p(m+1).at n=14A054801
• Group the natural numbers so that the n-th group contains n numbers whose sum as well as the group product +1 is prime. Sequence contains the primes arising as the sum of the terms of groups.at n=33A092946
• Numbers n such that the numbers of divisors of n,n+1,n+2 and n+3 are k,2k,4k,8k respectively for some k.at n=8A100364
• Prime numbers p for which the quintic polynomial x^5 - x - 1 modulo p completely factors into linear polynomials.at n=12A135844
• Prime numbers p not of the form 10*k+1 for which the quintic polynomial x^5-x-1 modulus p is factorizable into five binomials.at n=8A135845
• Primes congruent to 26 mod 53.at n=39A142556
• Primes congruent to 7 mod 59.at n=34A142734
• Primes congruent to 18 mod 61.at n=38A142816
• Primes p such that continued fraction of (1+sqrt(p))/2 has period 5 : primes in A146330.at n=34A146350
• Numbers k such that k and k+6 are both balanced primes.at n=14A173892
• First of a run of 4 or more consecutive primes which all equal 1 (mod 3).at n=43A185942
• Consider two consecutive primes {p,q} such that {P=2p-q,Q=2q-p} are both prime. Sequence gives lesser primes p.at n=40A186169
• Number of n X n symmetric 0..5 arrays with each element equal to at least two horizontal or vertical neighbors and with new values 0..5 introduced in lower triangular row major order.at n=6A192999
• Number of n X n symmetric 0..6 arrays with each element equal to at least two horizontal or vertical neighbors and with new values 0..6 introduced in lower triangular row major order.at n=6A193000
• Number of n X n symmetric 0..7 arrays with each element equal to at least two horizontal or vertical neighbors and with new values 0..7 introduced in lower triangular row major order.at n=6A193001
• Number of zero-sum -2..2 arrays of n elements with adjacent element differences also in -2..2.at n=8A202246
• T(n,k)=Number of zero-sum -k..k arrays of n elements with adjacent element differences also in -k..k.at n=53A202252