23011

Properties

Appears in sequences

• Numerators of continued fraction convergents to sqrt(664).at n=8A042276
• Fourth term of strong prime sextets: p(m-2)-p(m-3) > p(m-1)-p(m-2) > p(m)-p(m-1) > p(m+1)-p(m) > p(m+2)-p(m+1).at n=5A054816
• First member of a prime quadruple in a 2p-1 progression.at n=13A057327
• Initial term in sequence of four consecutive primes whose consecutive differences have d-pattern = [6, 4, 6]; short d-string notation for pattern = [646].at n=28A078856
• Primes p such that the differences between the 5 consecutive primes starting with p are (6,4,6,2).at n=5A078963
• Smallest primes starting a complete three iterations Cunningham chain of the second kind.at n=7A110024
• Smallest primes starting a complete three iterations Cunningham chain of the first or second kind.at n=21A110025
• Start with the empty list; for k = 1..oo, append to the list the smallest prime of the form k*m^3+m+1 with m>0 if such a prime exists, otherwise skip this value of k.at n=20A114365
• 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, 1, -1), (0, 1, -1), (1, -1, 1), (1, 1, 1)}.at n=8A149639
• Primes resulting from adding x and y from the least positive solution to Pell's equation (x^2 - d*y^2 == 1), with d squarefree.at n=44A205522
• Primes of the form 2*n^2 + 90*n + 43.at n=8A217621
• a(n) is the smallest prime in the interval [k*sqrt(k), k*sqrt(k+2)], where k = A001359(n), or a(n)=0 if there is no prime in this interval.at n=30A247867
• Least prime p such that 2*prime(p*n)+1 = prime(q*n) for some prime q.at n=30A260882
• a(0) = 2; for n>0, a(n) = smallest prime p such that p > a(n-1) and p is congruent to n modulo prime(n).at n=44A261192
• Centered 13-gonal (or tridecagonal) primes.at n=12A262493
• Primes with record values of corresponding Fortunate numbers (A005235).at n=46A317479
• Numbers k such that 447*2^k+1 is prime.at n=35A323193
• Numbers p such that p, 2p-1, 3p-2, 4p-3 are primes.at n=9A336059
• Discriminants of imaginary quadratic fields with class number 35 (negated).at n=31A351673
• Primes that contain at least two different even digits and at least two different odd digits such that any permutation of the odd digits and any permutation of the even digits produces a prime. Permutations with leading 0's are disregarded; i.e., if permutations of even digits in a prime p produce a number with a leading 0 that is not prime, p is still in the sequence.at n=37A377564