75997
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Sum of squares of the first n primes.at n=25A024450
- Consider the line segment in R^n from the origin to the point v=(2,3,5,7,11,...) with prime coordinates; let d = squared distance to this line from the closest point of Z^n (excluding the endpoints). Sequence gives d times v.v.at n=25A059804
- Primes that are the sum of the squares of the first k primes for some k.at n=2A098562
- Primes with digit sum = 37.at n=24A106771
- Numerator of Sum[ Prime[k]^2, {k,1,n}] / Product[ Prime[k], {k,1,n}] = Numerator[ A024450[n] / A002110[n] ].at n=25A122136
- Primes from A122136 corresponding to the indices A122138.at n=15A122139
- Numbers k such that k and k^2 use only the digits 0, 4, 5, 7 and 9.at n=14A136952
- Expansion of (1 + x) / ((1 - x^4) * (1 - x - x^5)) in powers of x.at n=39A247907
- Primes having only {5, 7, 9} as digits.at n=33A260831
- a(n) = smallest prime p such that (smallest prime > p^2) == p^2 + 4n^2, n>=1.at n=5A276556
- Number of multisets of nonempty words with a total of n letters over septenary alphabet containing the seventh letter such that within each prefix of a word every letter of the alphabet is at least as frequent as the subsequent alphabet letter.at n=6A293802
- Numerator of the contraharmonic mean of the first n primes.at n=25A296199
- First of four consecutive primes p,q,r,s such that (2*p+q)/5 and (r+2*s)/5 are prime.at n=6A358149
- Primes that are the sum of some number of consecutive prime squares.at n=40A376916
- Prime numbersat n=7484