26111

Properties

Appears in sequences

• a(0) = 3; for n > 0, a(n) is the greatest prime factor of a(n-1)^2 - 2.at n=5A031440
• 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=7A054817
• Numbers whose product of decimal digits equals its sum of binary digits.at n=34A064003
• Primes p such that 2^p-1 and the p-th Fibonacci number have a common factor. Prime terms of A074776.at n=12A080050
• Primes p such that p and p+2 are twin primes and also the strings 987654321p and 987654321p+2 are twin primes.at n=11A103818
• Primes with digital product = 12.at n=16A107697
• Primes p that divide Fibonacci[(p-1)/7].at n=33A125253
• A sequence of asymptotic density zeta(10) - 1, where zeta is the Riemann zeta function.at n=25A143036
• 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, -1, 1), (-1, 0, 1), (-1, 1, -1), (0, 0, 1), (1, 0, 0)}.at n=9A149916
• Primes of the form Sum_{k=1..m} (m^k mod (m+k)).at n=20A156557
• Primes of the form (5+ a triangular number A000217).at n=25A159049
• a(n) = p is the first twin prime (p, p+2) for which p+1 has n prime factors (n>=2, multiplicity counted).at n=9A164291
• Primes p with property that there exists a number d>0 such that numbers p-k*d, k=1...7, are seven primes.at n=37A216590
• Smallest prime q such that 2*prime(n)*q^prime(n)-1 is also prime.at n=41A225724
• Primes p such that 16*p^2 + 10*p + 1 divides 2^p - 1.at n=10A231916
• Prime(n), where n is such that (1+Sum_{i=1..n} prime(i)^5) / n is an integer.at n=13A234003
• Prime numbers containing the string 111.at n=19A243527
• Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 147", based on the 5-celled von Neumann neighborhood.at n=33A270292
• Anagraprod Integers. Integers N that reproduce their multiset of digits when all the products of two successive digits of N are done (and considered together).at n=63A296451
• Number of nX7 0..1 arrays with every element unequal to 0, 1, 2 or 3 king-move adjacent elements, with upper left element zero.at n=12A303726