What is the 1072nd prime number?
The 1072nd prime number is 8609. The next prime is 8623 (a gap of 14) and the one before is 8599.
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 1072nd one is 8609.
- 2
8609 is prime because no prime up to ā8609 ā 92.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1072nd prime is close to 1072 Ć ln(1072) ā 7480, and here it is 8609.
- 4
8609 has no twin: neither 8607 nor 8611 is prime.
Primes around the 1072nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1069 | 8581 | 8 |
| 1070 | 8597 | 16 |
| 1071 | 8599 | 2 |
| 1072 | 8609 | 10 |
| 1073 | 8623 | 14 |
| 1074 | 8627 | 4 |
| 1075 | 8629 | 2 |
Questions
What is the 1072nd prime number?
8609.
Which prime number is 8609?
8609 is the 1072nd prime number.
What is the sum of the first 1072 primes?
4,278,125.