31957
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Smallest prime p such that there is a gap of 2n between p and previous prime.at n=24A001632
- Primes that remain prime through 3 iterations of function f(x) = 5x + 2.at n=29A023283
- Numbers k such that 83*2^k+1 is prime.at n=16A032391
- Replace 2n+1 with concatenation of its divisors >1.at n=28A037287
- Primes p from A031924 such that A052180(primepi(p)) = 31.at n=12A052237
- Primes in which the digit string can be partitioned into three parts such that third (least significant) part is the product of the first two.at n=23A088294
- Primes with at least one of each odd digit and no even digits.at n=8A108418
- Smallest prime p=prime(k) such that there exist numbers i and j with prime(k-1) < i < p < j < prime(k+1) and gcd(i,j)=n.at n=44A117392
- a(n) = 38*n^2 - 1.at n=28A158596
- a(n) is the smallest prime q such that, for the previous prime p and the following prime r, the fraction (r-q)/(q-p) has denominator n in lowest terms.at n=24A179234
- Least Ramanujan prime having a gap of 2n to the previous Ramanujan prime.at n=48A182875
- 5-Ramanujan primes; the interval (x/2,x] has at least n 4-Ramanujan primes for x >= a(n) but not for x = a(n)-1.at n=36A192823
- Primes that remain prime when a single digit 7 is inserted between any two consecutive digits or as the leading or trailing digit.at n=18A215420
- Primes p with each odd decimal digit present at least once.at n=8A232447
- Primes 8k + 5 at the end of the maximal gaps in A269513.at n=14A269515
- Numbers k such that k![10]-2 is prime, where k![10] is the ten-fold multifactorial.at n=67A283559
- Primes introducing new second differences in A036263.at n=45A295973
- Number of nX5 0..1 arrays with every element equal to 1 or 2 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.at n=10A300347
- Primes at the end of the first-occurrence gaps in A014320.at n=26A335367
- Consecutive states of the linear congruential pseudo-random number generator for 16-bit WATFOR/WATFIV when started at 1.at n=31A384158