What is the 8611th prime number?
The 8611th prime number is 88883. The next prime is 88897 (a gap of 14) and the one before is 88873.
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 8611th one is 88883.
- 2
88883 is prime because no prime up to ā88883 ā 298.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8611th prime is close to 8611 Ć ln(8611) ā 78023, and here it is 88883.
- 4
88883 has no twin: neither 88881 nor 88885 is prime.
Primes around the 8611th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8608 | 88861 | 8 |
| 8609 | 88867 | 6 |
| 8610 | 88873 | 6 |
| 8611 | 88883 | 10 |
| 8612 | 88897 | 14 |
| 8613 | 88903 | 6 |
| 8614 | 88919 | 16 |
Questions
What is the 8611th prime number?
88883.
Which prime number is 88883?
88883 is the 8611th prime number.
What is the sum of the first 8611 primes?
361,803,492.