33409

Properties

Appears in sequences

• Number of trees of diameter 6.at n=13A000251
• Primes that remain prime through 3 iterations of function f(x) = 8x + 5.at n=27A023293
• Fifth term of strong prime sextets: p(m-3)-p(m-4) > p(m-2)-p(m-3) > p(m-1)-p(m-2) > p(m)-p(m-1) > p(m+1)-p(m).at n=9A054817
• Let p run through the primes; write p in base 10 and then interpret it in base 128 getting a number q; if q is prime then adjoin q to the sequence.at n=12A090718
• Primes of the form 256n+129.at n=29A105130
• Largest of six consecutive primes the sum of the digits of each of which is prime.at n=22A106720
• Prime numbers p such that p +- ((p-1)/4) are primes.at n=32A137705
• a(n) = 58*n^2 + 1.at n=24A158666
• Primes of the form (p^2 - 1)/8 - p, where p is also a prime.at n=22A165567
• a(n) is the smallest prime factor of n^n+1 having the form k*n+1.at n=22A187022
• Number of 0..n arrays x(0..8) of 9 elements with zero 5th differences.at n=33A200332
• Let p_(4,1)(m) be the m-th prime == 1 (mod 4). Then a(n) is the smallest p_(4,1)(m) such that the interval(p_(4,1)(m)*n, p_(4,1)(m+1)*n) contains exactly one prime == 1 (mod 4).at n=42A210475
• Number of (n+1)X(n+1) -6..6 symmetric matrices with every 2X2 subblock having sum zero and one, two or three distinct values.at n=7A211257
• Difference between pi(10^n) and nearest integer to (F[2n+1](S(n)))^2 where pi(10^n) = number of primes <= 10^n (A006880), F[2n+1](x) are Fibonacci polynomials of odd indices [2n+1] and S(n) = Sum_{i=0..2} (C(i)*(log(log(A*(B+n^2))))^(2i)) (see A227693).at n=9A227694
• Primes of the form 384*k + 1.at n=28A229854
• Primes of the form 232*m^2+1.at n=8A230392
• Primes of form n^2 + 10000.at n=28A256838
• Primes that can be generated by the concatenation in base 2, in descending order, of two consecutive integers read in base 10.at n=27A287019
• Primes that can be generated by the concatenation in base 4, in descending order, of two consecutive integers read in base 10.at n=20A287303
• Primes p such that q^2 - p^2 + 1 is the square of a composite number where p and q are consecutive primes.at n=31A316934