What is the 1074th prime number?
The 1074th prime number is 8627. The next prime is 8629 (a gap of 2) and the one before is 8623.
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 1074th one is 8627.
- 2
8627 is prime because no prime up to ā8627 ā 92.88 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1074th prime is close to 1074 Ć ln(1074) ā 7496, and here it is 8627.
- 4
8627 is a twin prime: 8627 and 8629 are both prime.
Primes around the 1074th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1071 | 8599 | 2 |
| 1072 | 8609 | 10 |
| 1073 | 8623 | 14 |
| 1074 | 8627 | 4 |
| 1075 | 8629 | 2 |
| 1076 | 8641 | 12 |
| 1077 | 8647 | 6 |
Questions
What is the 1074th prime number?
8627.
Which prime number is 8627?
8627 is the 1074th prime number.
What is the sum of the first 1074 primes?
4,295,375.