What is the 1073rd prime number?
The 1073rd prime number is 8623. The next prime is 8627 (a gap of 4) and the one before is 8609.
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 1073rd one is 8623.
- 2
8623 is prime because no prime up to ā8623 ā 92.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1073rd prime is close to 1073 Ć ln(1073) ā 7488, and here it is 8623.
- 4
8623 has no twin: neither 8621 nor 8625 is prime.
Primes around the 1073rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1070 | 8597 | 16 |
| 1071 | 8599 | 2 |
| 1072 | 8609 | 10 |
| 1073 | 8623 | 14 |
| 1074 | 8627 | 4 |
| 1075 | 8629 | 2 |
| 1076 | 8641 | 12 |
Questions
What is the 1073rd prime number?
8623.
Which prime number is 8623?
8623 is the 1073rd prime number.
What is the sum of the first 1073 primes?
4,286,748.