29959
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Numerators of continued fraction convergents to sqrt(861).at n=6A042662
- phi(s(n^3)) is a square, where s(n) is sigma(n)-n (A001065).at n=22A063798
- Numerator of the probability that the sum of n uniform picks on [0,1] is first greater than 2 (i.e., the sum of n-1 is not).at n=21A090137
- Primes p = p_(n+1) such that p_n + p_(n+2) = 2*p_(n+1) + 12.at n=34A095673
- Primes with digit sum = 34.at n=9A106769
- Beginning with 5, primes of the form: least multiple of the previous term followed by a 9. Beginning with 5, a(n) is the least prime of the form k*a(n-1)*10 +9.at n=3A113055
- Increasing sequence of odd primes such that abundancy(a(1)*...*a(n)) < 2, where abundancy(k) = A000203(k)/k. Generates "near perfect numbers".at n=5A121976
- Prime numbers p for which the quintic polynomial x^5 - x - 1 modulo p completely factors into linear polynomials.at n=24A135844
- Prime numbers p not of the form 10*k+1 for which the quintic polynomial x^5-x-1 modulus p is factorizable into five binomials.at n=19A135845
- Number of (n+2)X4 0..3 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly three ways, and new values 0..3 introduced in row major order.at n=5A204477
- Number of (n+2)X8 0..3 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly three ways, and new values 0..3 introduced in row major order.at n=1A204481
- T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly three ways, and new values 0..3 introduced in row major order.at n=22A204483
- T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly three ways, and new values 0..3 introduced in row major order.at n=26A204483
- Numbers n such that (40^n + 1)/41 is prime.at n=6A229663
- Primes p such that if q and r are the next two primes, 6*q-r, 6*q-p, 6*q+p and 6*q+r are all prime.at n=12A351636
- Primes having only {2, 5, 9} as digits.at n=14A385786
- Primes having only {0, 2, 5, 9} as digits.at n=33A386050
- Primes having only {2, 4, 5, 9} as digits.at n=28A386154
- Primes having only {2, 5, 6, 9} as digits.at n=43A386161
- Primes having only {2, 5, 8, 9} as digits.at n=29A386164