43649

Properties

Appears in sequences

• Primes that remain prime through 3 iterations of the function f(x) = 2*x + 1.at n=22A023272
• Primes resulting from procedure described in A048388.at n=43A048389
• Primes starting a Cunningham chain of the first kind of length 4.at n=17A059763
• Lower of twin primes (p,p+2) such that (p*(p+2))^2 + p^2 - (p+2)^2 and (p*(p+2))^2 - p^2 + (p+2)^2 are both prime.at n=6A079812
• Primes of the form 256n+129.at n=35A105130
• Smallest primes starting a complete three iterations Cunningham chain of the first or second kind.at n=30A110025
• Values of c in a^2 + b^2 = c^2 where b - a = 31 and gcd(a,b)=1.at n=8A116509
• Positive numbers y such that y^2 is of the form x^2 + (x+31)^2 with integer x.at n=14A157646
• 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=37A177335
• Pairs of consecutive primes {p,q} for which the numbers of distinct residues of all factorials mod p and mod q coincide.at n=43A210242
• a(n) = 6*n^3 - 263*n^2 + 3469*n - 12841.at n=35A218457
• Number of (n+4)X6 0..1 matrices with each 5X5 subblock idempotent.at n=17A224684
• Primes of the form 384*k + 257.at n=36A229856
• Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 645", based on the 5-celled von Neumann neighborhood.at n=31A273316
• a(n) is the number of strings of length n over the alphabet {a,b,c} with the number of a's divisible by 3, and the number of b's and c's is at most 3.at n=33A340169
• First of three consecutive primes p,q,r such that r^2-p^2+p, r^2-p^2+q and r^2-p^2+r are consecutive primes.at n=43A347531
• Primes such that x^16 = 2 has a solution in Z/pZ, but x^32 = 2 does not.at n=19A373468
• Prime numbersat n=4548