25457

Properties

Appears in sequences

• Concatenation of prime p and nextprime(p) is prime -> cycles of 2 steps possible.at n=9A036339
• 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=[6, 6,2]; short d-string notation of pattern = [662].at n=19A078857
• Diagonal of triangle in A082737.at n=36A082738
• Primes which are the sum of three positive 4th powers.at n=34A085318
• Take an n X n square grid of points in the plane; a(n) = number of ways to divide the points into two sets using a straight line.at n=16A114043
• Primes p of the form a^4+b^4+c^4 with a,b,c>=1 such that a^2+b^2+c^2 is another prime < p.at n=26A126117
• Prime numbers that are the sum of three distinct positive fourth powers.at n=22A126657
• Number of partitions of n having population standard deviation > 1.at n=37A238619
• Primes of form n^2 + 14641.at n=12A256839
• Primes that can be generated by the concatenation in base 7, in ascending order, of two consecutive integers read in base 10.at n=22A287308
• Numbers k such that [prime(k), prime(k+1), prime(k+2)] = [1, 2, 3] mod 11.at n=33A302767
• a(n) = sum of the first n primes whose distance to next prime is 4.at n=46A360226
• Primes having only {2, 4, 5, 7} as digits.at n=41A386153
• Prime numbersat n=2807