51001
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Quintan primes: p = (x^5 - y^5)/(x - y).at n=22A002649
- Expansion of 1/((1-9x)(1-11x)).at n=4A016190
- Primes associated with A052507.at n=40A052480
- Primes which can be expressed as concatenation of powers of 5 and 0's.at n=27A066596
- Primes of the form 1000*k + 1.at n=10A156655
- For n even a(n) = a(n-1) + 10*a(n-2), for n odd a(n) = a(n-3) + 10 a(n-2); with a(1) = 0, a(2) = 1.at n=10A161999
- Primes p where the digital sum of p^2 is equal to 13.at n=26A165492
- Primes that become squares when prefixed with a 2.at n=20A167735
- a(n) is the least prime of the form ((2n+1)^k - (2n-1)^k)/2.at n=4A177224
- a(1) = 1, a(2) = 5. For n >= 3, a(n) is found by concatenating the first n-1 terms of the sequence and then dividing the resulting number by a(n-1).at n=5A181755
- Primes having only {0, 1, 5} as digits.at n=22A199325
- Primes of the form 5*k^2 - 4.at n=24A201786
- Artiads (A001583) congruent to 1 mod 50 and having 2 as a quintic residue.at n=11A270799
- Lexicographically earliest sequence of primes whose partial products lie between noncomposite numbers.at n=49A359948
- Prime numbersat n=5223