22031

Properties

Appears in sequences

• Row sums of unsigned N(4) staircase array A062751.at n=3A062752
• a(n) is the n-th prime whose decimal expansion begins with the decimal expansion of n.at n=21A077345
• a(n) is the smallest x such that the quotient d(x+1)/d(x) equals n, where d = A000005.at n=24A080371
• Primes p1 such that p1^3+p2^2=pp are average of twin primes. p1 and p2 consecutive primes, p1 < p2.at n=16A138735
• Primes congruent to 24 mod 59.at n=39A142751
• Primes p such that continued fraction of (1 + sqrt(p))/2 has period 8; primes in A146333.at n=16A146353
• Prime numbers q of primitive Pythagorean triangles such that perimeters are averages of twin prime pairs, p+1=q(prime), a=q^2-p^2, c=q^2+p^2, b=2*p*q, ar=a*b/2; s=a+b+c, s-+1 are primes.at n=34A155187
• a(n) = 49*n^2 - 78*n + 31.at n=21A157368
• a(n) = 68*n^2 - 1.at n=17A158730
• Smallest k such that z = n in the minimal value of x + y*z, given x*y + z = k (for positive integers x, y, z).at n=9A228288
• a(n+1) is the smallest prime > a(n) such that the digits of a(n) are all (with multiplicity) contained in the digits of a(n+1), with a(1)=2.at n=12A242904
• Primes p such that p+2^3, p+2^5 and p+2^7 are all primes.at n=32A275475
• a(n) = 17*n^2 - 1.at n=36A321180
• a(n) is the smallest prime p such that p + 1 has 2n divisors.at n=24A340799
• Primes which, when added to their reversals, produce palindromic primes.at n=20A342681
• Primes p such that p and p+6 are consecutive primes, and p+36 and p+42 are consecutive primes.at n=43A350863
• a(n) is the index of the start of the first run of exactly n identical values in A356048.at n=5A356051
• Number of integer partitions of n such that (length) * (maximum) > 2*n.at n=37A361907
• Fourth Lie-Betti number of a path graph on n vertices.at n=23A362007
• Record high points in A386487.at n=30A386488