29863
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Largest prime == 7 (mod 8) with class number 2n+1.at n=22A002147
- a(n) and a(n)+4^k are primes at least for k=1,2,3,4.at n=17A049494
- Primes p such that x^27 = 2 has no solution mod p, but x^9 = 2 has a solution mod p.at n=13A059354
- Primes p such that x^54 = 2 has no solution mod p, but x^18 = 2 has a solution mod p.at n=6A059666
- Primes p such that x^9 = 2 has a solution mod p, but x^(9^2) = 2 has no solution mod p.at n=14A070185
- Primes associated with groups in A076077.at n=35A076076
- Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d=2,4 or 6) and forming d-pattern=[4, 6,6]; short d-string notation of pattern = [466].at n=35A078852
- Primes p such that the differences between the 5 consecutive primes starting with p are (4,6,6,2).at n=12A078956
- Number of (n+1)X8 0..3 arrays with each element of every 2X2 subblock being the sum mod 4 of two others.at n=0A183852
- T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with each element of every 2X2 subblock being the sum mod 4 of two others.at n=21A183854
- T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with each element of every 2X2 subblock being the sum mod 4 of two others.at n=27A183854
- Number of 6-bead necklaces labeled with numbers -n..n allowing reversal, with sum zero and first differences in -n..n.at n=9A209034
- Number of squares of all sizes in polyominoes obtained by union of two pyramidal figures (A092498) with intersection equals A002623.at n=43A260918
- Primes p such that p+2^4, p+2^6 and p+2^8 are all primes.at n=34A269257
- Primes that are values of A215240.at n=12A320041
- Primes prime(k) such that prime(k) + 2*prime(k+1), prime(k) + 2*prime(k+1) + 4*prime(k+2) and prime(k) + 2*prime(k+1) + 4*prime(k+2) + 8*prime(k+3) are all prime.at n=8A337214
- a(1) = 1, a(2) = 2, a(3) = 3 and a(n) is the smallest number not included earlier that divides the concatenation a(n-3), a(n-2), a(n-1).at n=33A351820
- Smallest prime in a sequence of n consecutive primes which add to a perfect cube.at n=11A382226
- Prime numbersat n=3234