What is the 8988th prime number?
The 8988th prime number is 93059. The next prime is 93077 (a gap of 18) and the one before is 93053.
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 8988th one is 93059.
- 2
93059 is prime because no prime up to ā93059 ā 305.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8988th prime is close to 8988 Ć ln(8988) ā 81824, and here it is 93059.
- 4
93059 has no twin: neither 93057 nor 93061 is prime.
Primes around the 8988th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8985 | 93001 | 8 |
| 8986 | 93047 | 46 |
| 8987 | 93053 | 6 |
| 8988 | 93059 | 6 |
| 8989 | 93077 | 18 |
| 8990 | 93083 | 6 |
| 8991 | 93089 | 6 |
Questions
What is the 8988th prime number?
93059.
Which prime number is 93059?
93059 is the 8988th prime number.
What is the sum of the first 8988 primes?
396,101,857.