78653
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Multiplicity of highest weight (or singular) vectors associated with character chi_78 of Monster module.at n=42A034466
- Numbers n such that the sum of the first n odd primes is palindromic.at n=8A058845
- Expansion of (1-x)^(-1)/(1 + x - x^2 + x^3).at n=20A077902
- Primes p such that q - p = 38, where q is the next prime after p.at n=14A134118
- 0-sequence of reduction of tetrahedral number sequence by x^2 -> x+1.at n=12A192246
- Constant term in the reduction of the polynomial 1+x+x^2+...+x^n by x^3->x^2+x+1. See Comments.at n=21A192804
- Primes of the form 7n^2 + 1.at n=25A201602
- a(1) = least k such that 1/3 < H(k) - 1/3; a(2) = least k such that H(a(1)) - H(3) < H(k) - H(a(1)), and for n > 2, a(n) = least k such that H(a(n-1)) - H(a(n-2)) > H(k) - H(a(n-1)), where H = harmonic number.at n=16A225605
- Expansion of e.g.f. 1/(exp(x) - x^2/2).at n=8A352309
- Antidiagonal sums of A369326.at n=12A369328
- Irregular triangle read by rows: T(n,k) is the number of flattened Catalan words of length n with exactly k symmetric peaks, with k >= 0.at n=42A372883
- Prime numbersat n=7718