64661
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Expansion of 1/((1-2x)(1-6x)(1-8x)(1-9x)).at n=4A026561
- Primes that are congruent to 1 mod n, where n is the index of the prime.at n=9A048891
- First term of weak prime sextet: p(m+1)-p(m) < p(m+2)-p(m+1) < p(m+3)-p(m+2) < p(m+4)-p(m+3) < p(m+5)-p(m+4).at n=18A054828
- Numbers n such that n = pi(n)*k + 1 for some k.at n=37A065136
- Primes obtained as a right concatenation of more than one consecutive even numbers and 1.at n=7A068706
- Primes p = prime(k) such that the decimal representation of p contains k as a substring.at n=6A075902
- Number of n-step self-avoiding walks on cubic lattice with first step specified.at n=7A078717
- Balanced primes of order ten.at n=27A096702
- a(n) = Sum {k + j*m <= n} (k + j*m), with 0 < k,j,m <= n.at n=38A106847
- Numbers n such that there exists at least one number j and pi(m) = d_1 d_2 ... d_j*d_(j+1) d_(j+2) ... d_k where d_1 d_2 ...d_k is the decimal expansion of n.at n=33A112012
- Primes p such that there exists at least one number j and pi(p)= d_1 d_2 ... d_j*d_(j+1) d_(j+2) ... d_k where d_1 d_2 ...d_k is the decimal expansion of p.at n=6A112013
- Primes p such that pi(p) is obtained by dropping one of the digits of p in decimal expansion.at n=14A114924
- Primes p such that pi(p) divides p-1 and/or p+1, where pi(p) is the number of primes <= p.at n=19A162567
- Number of 2 X 2 matrices with all elements in {0,1,...,n} and nonnegative even determinant.at n=20A210371
- Primes p such that pi(p) = floor(p/10), where pi is the prime counting function.at n=5A236469
- Primes p which are floor of Root-Mean-Cube (RMC) of prime(n) and prime(n+1).at n=22A240339
- Primes of form n^2 + 28561.at n=26A256841
- Primes having only {1, 4, 6} as digits.at n=29A260269
- Numbers k such that k!6 - 12 is prime, where k!6 is the sextuple factorial number (A085158).at n=28A289688
- Primes p such that p+2, p*(p+1)/2-2 and p*(p+1)/2+2 are also primes.at n=21A349336