What is the 8772nd prime number?
The 8772nd prime number is 90631. The next prime is 90641 (a gap of 10) and the one before is 90619.
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 8772nd one is 90631.
- 2
90631 is prime because no prime up to ā90631 ā 301.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8772nd prime is close to 8772 Ć ln(8772) ā 79644, and here it is 90631.
- 4
90631 has no twin: neither 90629 nor 90633 is prime.
Primes around the 8772nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8769 | 90599 | 16 |
| 8770 | 90617 | 18 |
| 8771 | 90619 | 2 |
| 8772 | 90631 | 12 |
| 8773 | 90641 | 10 |
| 8774 | 90647 | 6 |
| 8775 | 90659 | 12 |
Questions
What is the 8772nd prime number?
90631.
Which prime number is 90631?
90631 is the 8772nd prime number.
What is the sum of the first 8772 primes?
376,254,459.