What is the 1088th prime number?
The 1088th prime number is 8731. The next prime is 8737 (a gap of 6) and the one before is 8719.
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 1088th one is 8731.
- 2
8731 is prime because no prime up to ā8731 ā 93.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1088th prime is close to 1088 Ć ln(1088) ā 7607, and here it is 8731.
- 4
8731 has no twin: neither 8729 nor 8733 is prime.
Primes around the 1088th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1085 | 8707 | 8 |
| 1086 | 8713 | 6 |
| 1087 | 8719 | 6 |
| 1088 | 8731 | 12 |
| 1089 | 8737 | 6 |
| 1090 | 8741 | 4 |
| 1091 | 8747 | 6 |
Questions
What is the 1088th prime number?
8731.
Which prime number is 8731?
8731 is the 1088th prime number.
What is the sum of the first 1088 primes?
4,416,933.