58789
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Lower prime of a record difference between it and the second prime after it.at n=20A031133
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 32.at n=5A031620
- Largest prime substring in 5^n (0 if none).at n=16A046271
- 3 consecutive primes differ by 2n or more starting at a(n).at n=20A054697
- First occurrence prime gaps of the primes in sequence A002313 (Real primes with corresponding complex primes). a(0) = 2 with length of gap 3. For n>0 the size of the gap in the sequence is 4n, a(n) is the starting prime of the gap.at n=25A084160
- Primes with digit sum = 37.at n=8A106771
- prime(k) for those k where floor((2*(prime(k+1)-prime(k))*PrimePi(k) mod (8*k))/k) = m with m = 11.at n=18A109565
- Primes p such that q-p = 42, where q is the next prime after p.at n=6A134120
- Primes of the form 2*n^2 + 78*n + 37.at n=26A217501
- Centered 23-gonal primes.at n=6A276263
- Prime numbersat n=5948