27103
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Expansion of Product_{m >= 1} (1-m*q^m)^11.at n=11A022671
- Number of 5-ary rooted trees with n nodes and height at most 8.at n=14A036619
- Concatenate n with n-th prime.at n=26A045532
- a(n) is the n-th prime whose decimal expansion begins with the decimal expansion of n.at n=26A077345
- Class 7- primes.at n=9A081426
- Primes which are a concatenation of n and prime(n).at n=7A084667
- Least prime that begins a run of exactly 2n-1 primes between two consecutive prime-indexed primes.at n=13A088988
- Primes of the form 14 n^2-1.at n=11A143832
- a(n) = 56*n^2 - 1.at n=21A158658
- The smallest A(m) such that the interval (A(m)*n, A(m+1)*n) contains exactly one element of A, where A is the sequence of primes p for which p-2 is not prime.at n=17A201828
- Distinct-digit primes that are the concatenation of m and prime(m) for some number m.at n=5A255596
- Distinct-digit numbers that are the concatenation of m and prime(m) for some number m.at n=17A255729
- Primes of the form 6*p + 1 with p prime that are also of the form x^2 + 27*y^2 and congruent to 7 mod 24.at n=30A256172
- a(n) = [x^n] Product_{k>=1} (1 - k*x^k)^n.at n=11A297324
- Number of binary necklaces with n beads and at least two consecutive black beads.at n=18A351359
- Lexicographically earliest strictly increasing sequence of primes whose partial products lie between noncomposite numbers.at n=15A359939
- Primes p such that the prime triple (p, p+2 or p+4, p+6) generates a prime number when the digits are concatenated.at n=25A375313
- Prime numbersat n=2972