26861
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Where the prime race 4k-1 vs. 4k+1 changes leader.at n=1A007350
- Numbers k such that the continued fraction for sqrt(k) has period 47.at n=33A020386
- Start of a string of exactly 3 consecutive (but disjoint) pairs of twin primes.at n=8A035791
- Primes p for which pi_{4,3}(p) - pi_{4,1}(p) = -1, where pi_{m,a}(x) is the number of primes <= x which are congruent to a (mod m).at n=0A051025
- Sum of composite numbers between prime p and nextprime(p) is palindromic.at n=28A054266
- Near twin primes of order 18: twin primes (p, p+2) such that p+18 and p+20 are primes.at n=37A079304
- Lesser of the first pair of three successive prime pairs (no isolated primes occur in between). Least of the six successive primes which are member of prime pairs.at n=11A090953
- Odd primes p such that the number of primes less than p that are congruent to 1 (mod 4) is equal to the number of primes less than p that are congruent to 3 (mod 4).at n=6A096447
- Primes p such that p+2, p^2 - 2p + 2, and p^2 - 2p + 4 are all prime.at n=13A101315
- Primes from merging of 5 successive digits in decimal expansion of exp(2).at n=32A105001
- Lesser prime in pair prime(k) +/- k for some k.at n=40A107636
- Numerators of partial sums of (p+q)/p*q, where p and q are primes.at n=6A120833
- First of six consecutive primes that are three sets of twin primes.at n=10A136143
- First primes of an arithmetic progression of six primes with common difference 30.at n=9A156204
- Primes p for which pi_{4,3}(p) < pi_{4,1}(p), where pi_{m,a}(x) is the number of primes <= x which are congruent to a (mod m).at n=0A199547
- T(n,k)=Number of nXk arrays of occupancy after each element stays put or moves to some horizontal, diagonal or antidiagonal neighbor, without move-in move-out left turns.at n=16A221780
- Number of 2Xn arrays of occupancy after each element stays put or moves to some horizontal, diagonal or antidiagonal neighbor, without move-in move-out left turns.at n=4A221781
- First primes of arithmetic progressions of 5 primes each with the common difference 30.at n=39A227281
- Lesser of consecutive primes whose average is a palindromic number.at n=38A242387
- Prime p such that p^5 + p^3 + p - 4 and p^5 + p^3 + p + 4 are primes.at n=27A243900