44257

Properties

Appears in sequences

• Third term of strong prime sextets: p(m-1)-p(m-2) > p(m)-p(m-1) > p(m+1)-p(m) > p(m+2)-p(m+1) > p(m+3)-p(m+2).at n=14A054815
• Numbers n such that n, 10*n+1, 10*n+3, 10*n+7 and 10*n+9 are all primes.at n=12A067267
• The 6-tuples (d1,d2,d3,d4,d5,d6) with elements in {2,4,6} are listed in lexicographic order; for each 6-tuple, this sequence lists the smallest prime p >= 7 such that the differences between the 7 consecutive primes starting with p are (d1,d2,d3,d4,d5,d6), if such a prime exists.at n=30A078874
• Sorted version of A078874.at n=32A078875
• Primes p such that the differences between the 5 consecutive primes starting with p are (6,4,2,4).at n=13A078961
• Scale factor by which primitive Pythagorean triangle {x=A088509(n), y=A088510(n), z=A088511(n)} needs be enlarged in order to circumscribe the smallest integral square having a side on the hypotenuse.at n=30A088544
• Numbers k such that the fractional part of (3/2)^k is less than 1/k.at n=11A153662
• Let p_(3,1)(m) be the m-th prime == 1(mod 3). Then a(n) is the smallest p_(3,1)(m) such that the interval(p_(3,1)(m)*n, p_(3,1)(m+1)*n) contains exactly one prime == 1(mod 3).at n=30A210465
• Primes p such that p + 6, p + 10, p + 12, p + 16 and p + 22 are also primes.at n=5A383396
• Prime numbersat n=4605