26683
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Fibonacci sequence beginning 6, 13.at n=17A022388
- Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d=2,4 or 6) and forming d-pattern=[4, 6,6]; short d-string notation of pattern = [466].at n=32A078852
- Primes p such that the differences between the 5 consecutive primes starting with p are (4,6,6,2).at n=10A078956
- Primes that do not divide any term of the Lucas 4-step sequence A073817.at n=23A106300
- Primes of the form p = prime(k+1) such that prime(k) = (prime(k+3)+prime(k-1))/2.at n=25A126239
- Larger of 3 consecutive prime numbers such that p1*p2*p3*d1*d2=average of twin prime pairs; p1,p2,p3 consecutive prime numbers; d1(delta)=p2-p1, d2(delta)=p3-p2.at n=22A153411
- Primes p such that q*p +- (p mod q) are primes, for q=8.at n=31A178416
- Let p_(4,3)(m) be the m-th prime == 3 (mod 4). Then a(n) is the smallest p_(4,3)(m) such that the interval(p_(4,3)(m)*n, p_(4,3)(m+1)*n) contains exactly one prime == 3(mod 4).at n=36A210476
- x-values in the solutions to x^2 - 5y^2 = 44.at n=18A228210
- Numerators of upper primes-only best approximates (POBAs) to sqrt(5); see Comments.at n=12A265786
- Numerators of primes-only best approximates (POBAs) to sqrt(5); see Comments.at n=9A265788
- Fill an array by antidiagonals upwards; in the top left cell enter a(0)=1; thereafter, in the n-th cell, enter the sum of the entries of those earlier cells that can be seen from that cell.at n=32A279212
- a(1) = 2; a(n + 1) = smallest prime > a(n) such that a(n + 1) - a(n) is the product of 8 primes.at n=26A285693
- Array read by upwards antidiagonals: T(m,n) = number of set partitions of the multiset consisting of one copy each of x_1, x_2, ..., x_m, and two copies each of y_1, y_2, ..., y_n, for m >= 0, n >= 0.at n=31A322765
- Column 3 of array in A322765.at n=4A322768
- Primes whose binary complement (A035327) is a square.at n=38A323067
- Number of partitions of the (n+7)-multiset {1,2,...,n,1,2,...,7}.at n=3A346884
- Interlopers in sexy prime quadruples.at n=27A358322
- Primes having only {2, 3, 6, 8} as digits.at n=44A386148
- Prime numbersat n=2925