What is the 7983rd prime number?
The 7983rd prime number is 81629. The next prime is 81637 (a gap of 8) and the one before is 81619.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 7983rd one is 81629.
- 2
81629 is prime because no prime up to ā81629 ā 285.71 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7983rd prime is close to 7983 Ć ln(7983) ā 71728, and here it is 81629.
- 4
81629 has no twin: neither 81627 nor 81631 is prime.
Primes around the 7983rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7980 | 81569 | 6 |
| 7981 | 81611 | 42 |
| 7982 | 81619 | 8 |
| 7983 | 81629 | 10 |
| 7984 | 81637 | 8 |
| 7985 | 81647 | 10 |
| 7986 | 81649 | 2 |
Questions
What is the 7983rd prime number?
81629.
Which prime number is 81629?
81629 is the 7983rd prime number.
What is the sum of the first 7983 primes?
308,288,278.