67891

Properties

Appears in sequences

• Primes that remain prime through 3 iterations of function f(x) = 6x + 1.at n=29A023287
• Numbers n such that 289*2^n-1 is prime.at n=24A050903
• Number of ways of pairing odd numbers in the range 1 to n with even numbers in the range n+1 to 2n such that each pair sums to a prime.at n=23A071058
• Number of ways of pairing even numbers in the range 1 to n with odd numbers in the range n+1 to 2n such that each pair sums to a prime.at n=23A071059
• First occurrence of an n-digit prime as a substring in the concatenation of the natural numbers 12345678910111213141516171819202122232425262728293031....at n=4A073175
• a(1) = 1; for n > 1, a(n) > a(n-1) is the smallest number such that the concatenation a(1)a(2)a(3)... forms a cyclic concatenation of 123456789 (of nonzero digits).at n=20A081549
• Natural numbers written out with their digits grouped in sets of 5 (leading zeros omitted).at n=1A091341
• Primes from merging of 5 successive digits in decimal expansion of the Champernowne Constant.at n=0A104948
• Smallest prime of the form: n successive positive integers in ascending order followed by a 1.at n=3A114754
• Number of permutations of length n that avoid the patterns 132, 4321.at n=31A116701
• Coefficients of Taylor series expansion of the operad Prim L.at n=9A121545
• In this sequence each prime ends a prime century. Place a 0 between the final two digits, and raise the 100s digit by 1, to form the first prime of the next century.at n=8A156083
• Triangle read by rows: T(n,k) = value of the string of length k beginning at position n in the concatenation of natural numbers in decimal representation, 1<=k<=n.at n=19A162711
• Minimum number n, not already present, that permits the cyclic repetition of the decimal digits 1,2,3,4,5,6,7,8,9 in the sequence.at n=37A165307
• Put the natural numbers together without spaces and read them five at a time advancing one space each time.at n=5A193493
• Primes p = 1 mod 6 such that all three iterations p=(6p+1) give primes = 1 mod 6.at n=15A210686
• Primes p such that p^4-p^3+1 and p^4-p^3-1 are also primes.at n=28A238136
• Primes that can be generated by the concatenation in base 9, in ascending order, of two consecutive integers read in base 10.at n=28A287312
• Prime concatenated analog clock numbers read clockwise. Version 2: hours > 9 are split in 2 digits.at n=11A373044
• Prime numbers in order of occurrence as substrings in the concatenation of natural numbers 123456789101112....at n=11A383790