27763

Properties

Appears in sequences

• Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 96 ones.at n=27A031864
• Discriminants of imaginary quadratic fields with class number 17 (negated).at n=40A046014
• a(n) and a(n)+4^k are primes at least for k=1,2,3,4.at n=16A049494
• 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=[4, 6,6]; short d-string notation of pattern = [466].at n=34A078852
• Primes which are the sum of three positive 4th powers.at n=36A085318
• Number of isolated-pentagon fullerenes with 2n vertices (or carbon atoms).at n=31A086423
• Primes p such that p + 2^2, p + 4^2 and p + 6^2 are also primes.at n=34A092475
• 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=28A126117
• a(1) = 2, a(2) = 3; for n>2, a(n) = least prime such that a(n-2) is the largest prime factor of a(n)+a(n-1).at n=22A126607
• Primes p such that the multiplicative order of 2 modulo p is (p-1)/7.at n=26A152307
• Primes that start a run of at least seven consecutive primes, where between successive primes exactly one digit changes and the resulting digits may be permuted.at n=28A157717
• Primes p such that the decimal expansion of its base 7 expansion converted to decimal is a square.at n=14A241246
• Primes p such that p+2^4, p+2^6 and p+2^8 are all primes.at n=32A269257
• Primes of the form abs(n^5 - 99n^4 + 3588n^3 - 56822n^2 + 348272n - 286397) in order of increasing nonnegative n.at n=21A272444
• Number of partitions of n containing no part i of multiplicity i+1.at n=40A277099
• Number of set partitions of [k] into 5 blocks with equal element sum, where k is the n-th positive integer that allows such a partition.at n=4A317807
• Irregular triangle read by rows where T(n,k) is the number of set partitions of {1,...,n} with all block-sums equal to d, where d is the k-th divisor of n*(n+1)/2 that is >= n.at n=54A320438
• Smaller term p1 of the first of two consecutive cousin prime pairs (p1,p1+4) and (p2,p2+4) such that the distance (p2-p1) is a square.at n=26A339084
• a(n) = a(n-1) + a(n-2) + a(n-3), with a(1) = 4, a(2) = 13, a(3) = 42.at n=13A385717
• Prime numbersat n=3029