What is the 8773rd prime number?
The 8773rd prime number is 90641. The next prime is 90647 (a gap of 6) and the one before is 90631.
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 8773rd one is 90641.
- 2
90641 is prime because no prime up to ā90641 ā 301.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8773rd prime is close to 8773 Ć ln(8773) ā 79654, and here it is 90641.
- 4
90641 has no twin: neither 90639 nor 90643 is prime.
Primes around the 8773rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8770 | 90617 | 18 |
| 8771 | 90619 | 2 |
| 8772 | 90631 | 12 |
| 8773 | 90641 | 10 |
| 8774 | 90647 | 6 |
| 8775 | 90659 | 12 |
| 8776 | 90677 | 18 |
Questions
What is the 8773rd prime number?
90641.
Which prime number is 90641?
90641 is the 8773rd prime number.
What is the sum of the first 8773 primes?
376,345,100.