23473

Properties

Appears in sequences

• Numbers k such that 5*2^k + 1 is prime.at n=16A002254
• Related to self-avoiding walks on square lattice.at n=8A006814
• Denominators of continued fraction convergents to sqrt(337).at n=10A041637
• Primes p such that x^36 = 2 has no solution mod p, but x^12 = 2 has a solution mod p.at n=32A059668
• Scale factor by which primitive Pythagorean triangle {x=A088509(n), y=A088510(n), z=A088511(n)} needs be enlarged in order to circumscribe the smallest integral square having a side on the hypotenuse.at n=17A088544
• Primes congruent to 49 mod 61.at n=38A142847
• 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, -1, 0), (-1, 0, 0), (0, 0, 1), (0, 1, -1), (1, -1, 0)}.at n=11A148094
• Primes p such that none of p-2, p-1, p+1, and p+2 is squarefree.at n=11A153215
• Primes p such that 2*p^4-+21 are also prime.at n=33A174367
• Primes with eight embedded primes.at n=16A179916
• G.f.: exp( Sum_{n>=1} x^n/n * exp( Sum_{k>=1} Lucas(n*k)*x^(n*k)/k ) ) where Lucas(n) = A000032(n).at n=16A203318
• Number of (w,x,y,z) with all terms in {0,...,n} and 2w=max{w,x,y,z}-min{w,x,y,z}.at n=37A212757
• Numbers k such that 5*2^k + 1 is a prime factor of a Fermat number 2^(2^m) + 1 for some m.at n=7A226366
• Primes of the form abs(103*n^2 - 4707*n + 50383) in order of increasing nonnegative n.at n=39A267252
• Numbers n such that 5*2^n + 1 is a prime factor of a generalized Fermat number 5^(2^m) + 1 for some m.at n=11A268662
• Least prime q such that (q-p)/(r-q), where p<q<r are three consecutive primes, produces a new ratio <= 1, arranged by Farey fractions A038566/A038567.at n=44A279066
• Numbers k such that 5*2^k + 1 is a prime factor of a generalized Fermat number 7^(2^m) + 1 for some m.at n=2A282945
• Primes of the form 5*n^2 - 5*n + 13.at n=42A320752
• Primes p such that 5*2^p + 1 is also prime.at n=5A322301
• Sum of the largest parts of the partitions of n into 10 parts.at n=37A326598