22259
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Expansion of Product_{m>=1} (1+q^m)^(-6).at n=18A022601
- Denominators of continued fraction convergents to sqrt(519).at n=12A041993
- Primes p such that p-12, p and p+12 are consecutive primes.at n=23A053072
- McKay-Thompson series of class 8b for Monster.at n=36A058088
- Primes of the form 2*n^2 + 2*n - 1.at n=34A098828
- Largest primes arising in A099756 which were built up from n distinct digits. This sequence differs from A007810 because more than one copy of each digit is permitted.at n=2A100369
- McKay-Thompson series of class 8c for the Monster group.at n=36A112145
- McKay-Thompson series of class 16a for the Monster group.at n=18A112150
- Primes p such that q = p+d (with d >= 6) is the next prime and both p and q are Sophie Germain primes.at n=37A128825
- Primes of the form (p^2 - 3)/2 where p is also prime.at n=22A165635
- Prime numbers containing the string 222.at n=4A166580
- Expansion of chi(x^5)^6 + x * chi(x)^6 in powers of x where chi() is a Ramanujan theta function.at n=19A240948
- Smaller member of a Sophie Germain pair in which each member of the pair is the smaller of its prime pair (p, (p*p*p)+2).at n=8A242281
- Positions of pandigital 10-digit numbers after the decimal point in the decimal expansion of Pi.at n=10A280183
- Balanced primes of order one ending in 9.at n=5A303095
- Primes p such that the base-10 concatenations (p+1)||p and (p+1)||(p+1)||p are both prime.at n=44A309749
- Primes p such that q^2 - p^2 + 1 is the square of a composite number where p and q are consecutive primes.at n=24A316934
- Numbers at the start of a run of 2 or more consecutive primes that are Sophie Germain primes.at n=37A339474
- Numbers at the start of a run of exactly 2 consecutive primes that are Sophie Germain primes.at n=35A339475
- Viggo Brun's ternary continued fraction algorithm applied to { log 2, log 3/2, log 5/4 } produces a list of triples (p,q,r); sequence gives q values.at n=28A359743