99991

Properties

Appears in sequences

• Largest n-digit prime.at n=4A003618
• Primes that contain digits 1 and 9 only.at n=15A020457
• Number of Young tableaux of height <= 5.at n=12A049401
• Inverse Moebius transform of A000031 (starting at term 0).at n=21A054058
• a(n) is the largest number which can be formed with no zeros, using least number of digits and having digit sum = n.at n=36A061219
• Smallest prime beginning with exactly n 9's.at n=4A065592
• Largest n-digit prime with all odd digits.at n=4A068694
• Primes whose 10's complement is a square.at n=21A083004
• If k is a number with exactly two distinct decimal digits, say a and b, neither of which is 0 (i.e., a member of A101594), define the self-complement of k, SC(k), to be the number obtained by replacing a with b and vice versa. E.g. SC(232233) = 323322. Sequence contains primes p such that SC(p) is also a prime.at n=29A083983
• a(n) = largest prime using least number of possible digits with a digit sum n, or 0 if no such number exists. E.g., if n > 9 and there are no two-digit primes with a given digit sum n then three-digit numbers are explored and so on.at n=36A088115
• Smallest prime whose product of digits is 3^n.at n=8A088653
• Primes of the form identical odd digits followed by a 1.at n=7A089346
• Primes of the form identical digits followed by a 1.at n=14A089347
• a={1,3,7,9} a1={1,3,7,9,0} b[n]=Flatten[Table[10*Sum[10^m*a1[[1+Mod[n,5]]],{m,0,n}]+a,{n,0,digits}]]; a[m]=if b[n] is prime then b[n].at n=8A089690
• Primes of the form 90*R_k + 1, where R_k is the repunit (A002275) of length k.at n=1A093177
• Smallest and largest primes pairwise displayed with k digits from k=2,3,... with repeated decimal digits.at n=7A099630
• Smallest and largest of the n-digit primes.at n=9A101592
• Largest n-digit zeroless prime with nonprime digits.at n=3A103545
• Near-repdigit primes with 9 as repeated digit.at n=21A105975
• Transmutable primes: Primes with distinct digits d_i, i=1,m (2<=m<=4) such that simultaneously exchanging all occurrences of any one pair (d_i,d_j), i<>j results in a prime.at n=36A108388