27551
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Numbers whose least quadratic nonresidue (A020649) is 17.at n=21A025026
- Primes of form k^2 - 5.at n=31A028877
- Denominators of continued fraction convergents to sqrt(665).at n=11A042279
- Numbers n such that 265*2^n-1 is prime.at n=26A050891
- P(p(n)), P = primes (A000040), p = partition numbers (A000041).at n=27A058697
- Primes with 17 as smallest positive primitive root.at n=27A061329
- Right diagonal of triangle in A072467.at n=24A072469
- Primes of the form p*q + p + q, where p and q are two successive primes.at n=19A096342
- Primes p such that q-p = 30, where q is the next prime after p.at n=34A124596
- a(n) = prime(n)*prime(n+1) + prime(n) + prime(n+1).at n=37A126199
- Penta-Primes. Prime Numbers n as a Sum of 5 consecutive prime numbers (four twin primes and single prime number in between) are primes.at n=10A138397
- Prime numbers p such that p - 1 is the fourth a-figurate number and nineteenth b-figurate number for some a and b.at n=27A144327
- Sum of the trapezoid weights of all peakless Motzkin paths of length n (n>=0).at n=14A171853
- Artiads (A001583) congruent to 1 mod 50 and having 2 as a quintic residue.at n=5A270799
- Primes p whose last digit is the same as that of both its predecessor prime and its successor prime.at n=27A298075
- Numbers at the start of a run of exactly 2 consecutive primes that are Sophie Germain primes.at n=40A339475
- Primes p such that A001414(p+1) = A001414(p-1) + 1.at n=10A342738
- Product_{n>=1} (1 + a(n) * x^n) = 1 + Sum_{n>=1} (n * (n + 1) / 2) * x^n.at n=23A359407
- Primes that are (product + sum) of a sequence of consecutive primes.at n=21A391078
- a(n) = Sum_{k=0..floor(3*n/11)} binomial(3*n-10*k,k).at n=22A392350