75353
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Primes of form n^2 + n + 3.at n=32A027753
- Odd k for which k+2^m is composite for all m < k.at n=26A033919
- Primes with consecutive digits that differ exactly by 2.at n=18A048399
- Expansion of (1+x^2)*(1+x^5)*(1+x^8)/((1-x)*(1-x^2)*(1-x^3)*(1-x^4)*(1-x^5)*(1-x^6)*(1-x^7)*(1-x^8)*(1-x^9)*(1-x^10)).at n=42A069950
- Primes with only prime digits and whose initial, all intermediate and final iterated sums of digits are primes.at n=30A070029
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 1), (0, 1, -1), (1, -1, 1), (1, 0, 0), (1, 1, 1)}.at n=8A150883
- Start with 1. Successive digits in the sequence must differ by 2. Adjoin the smallest number not yet in the sequence.at n=47A228328
- Base-2 expansion of a(n) encodes the steps where numbers of the form 4k+1 are encountered when map x -> A252463(x) is iterated down to 1, starting from x=n.at n=52A292381
- Maximal sequence of primes whose digits are primes and whose digit sum is also a term.at n=21A360497
- Prime numbersat n=7425