What is the 8721st prime number?
The 8721st prime number is 90053. The next prime is 90059 (a gap of 6) and the one before is 90031.
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 8721st one is 90053.
- 2
90053 is prime because no prime up to ā90053 ā 300.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8721st prime is close to 8721 Ć ln(8721) ā 79130, and here it is 90053.
- 4
90053 has no twin: neither 90051 nor 90055 is prime.
Primes around the 8721st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8718 | 90019 | 2 |
| 8719 | 90023 | 4 |
| 8720 | 90031 | 8 |
| 8721 | 90053 | 22 |
| 8722 | 90059 | 6 |
| 8723 | 90067 | 8 |
| 8724 | 90071 | 4 |
Questions
What is the 8721st prime number?
90053.
Which prime number is 90053?
90053 is the 8721st prime number.
What is the sum of the first 8721 primes?
371,647,476.