What is the 8983rd prime number?
The 8983rd prime number is 92987. The next prime is 92993 (a gap of 6) and the one before is 92959.
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 8983rd one is 92987.
- 2
92987 is prime because no prime up to ā92987 ā 304.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8983rd prime is close to 8983 Ć ln(8983) ā 81773, and here it is 92987.
- 4
92987 has no twin: neither 92985 nor 92989 is prime.
Primes around the 8983rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8980 | 92951 | 10 |
| 8981 | 92957 | 6 |
| 8982 | 92959 | 2 |
| 8983 | 92987 | 28 |
| 8984 | 92993 | 6 |
| 8985 | 93001 | 8 |
| 8986 | 93047 | 46 |
Questions
What is the 8983rd prime number?
92987.
Which prime number is 92987?
92987 is the 8983rd prime number.
What is the sum of the first 8983 primes?
395,636,704.