22501
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Primes of the form k^2 + 1.at n=27A002496
- Primes that remain prime through 3 iterations of function f(x) = 5x + 2.at n=24A023283
- Primes that remain prime through 4 iterations of function f(x) = 2x + 5.at n=17A023304
- Primes of the form p*q+2 where p and q are consecutive primes.at n=6A048880
- Primes of form pq + 2 where p and q are twin primes.at n=2A051779
- Odd powers of primes of the form q = x^2 + 1 (A002496).at n=36A054755
- Numbers whose divisors have the form m^k + 1, k>1.at n=29A054964
- Initial prime in first sequence of n primes congruent to 1 modulo 5.at n=3A057618
- Primes p such that the greatest prime divisor of p-1 is 5.at n=41A061599
- Primes p such that sigma(p-1)+sigma(p+1) is prime.at n=8A067464
- Greatest prime factor of prime(n+1)^2 + prime(n)^2.at n=34A069485
- Average of squares of successive primes: a(n) = (prime(n+1)^2 + prime(n)^2)/2, with n >= 2.at n=33A075892
- Table read by rows where i-th row consists of primes P of the form P=(j*P(i)#)^2 +1 with 0 < j < P(i+1). Here P(i)# = A002110(i).at n=6A087728
- Primes of form (prime(n)^2 + prime(n+1)^2)/2.at n=5A093343
- Numbers n such that the numbers of divisors of n,n+1,n+2 and n+3 are k,2k,4k,8k respectively for some k.at n=9A100364
- Indices of records in A109631.at n=33A109640
- Primes of the form 2^a * 3^b * 5^c + 1 for positive a, b, c.at n=32A114991
- Primes of the form 4*k^2 + 1.at n=26A121326
- Primes associated with A127435.at n=11A127436
- Prime averages of two successive perfect prime powers.at n=5A131697