26723

Properties

Appears in sequences

• 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=[6, 2,6]; short d-string notation of pattern = [626].at n=26A078854
• Primes of the form n^2+5*n+c (n>=0), where c=3 for even n and c=-3 for odd n.at n=31A117012
• Numbers k such that (3^k + 5^k)/8 = A074606(k)/8 is a prime.at n=12A122853
• 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, -1, 1), (1, 1, -1), (1, 1, 1)}.at n=8A149733
• Primes whose reversal - 1 is a square.at n=40A167218
• Number of nX5 binary arrays without the pattern 1 1 0 diagonally, vertically, antidiagonally or horizontally.at n=3A188603
• T(n,k)=Number of nXk binary arrays without the pattern 1 1 0 diagonally, vertically, antidiagonally or horizontally.at n=31A188607
• Number of 4 X n binary arrays without the pattern 1 1 0 diagonally, vertically, antidiagonally or horizontally.at n=4A188609
• Smallest prime Q such that prime(n)*(2*Q)^prime(n)-1 is prime.at n=40A245600
• Primes p such that A276173(p) = p.at n=39A276174
• Greatest of 4 consecutive primes with consecutive gaps 2, 4, 6.at n=30A290706
• Numbers k such that 459*2^k+1 is prime.at n=43A323199
• Primes p such that (p*s) mod q and (p*s) mod r are a pair of twin primes, where q,r,s are the next primes after p.at n=14A338751
• Discriminants of imaginary quadratic fields with class number 35 (negated).at n=35A351673
• a(n) is the first prime p such that the average of the n-th powers of n consecutive primes starting with p is prime.at n=24A359323
• The smallest positive number such that sopfr(|a(n) - n|) = sopfr(a(n) + n) and Omega(|a(n) - n|) = Omega(a(n) + n), where sopfr(k) is the sum of the primes dividing k, with repetition.at n=26A370504
• Prime numbersat n=2933