What is the 2974th prime number?
The 2974th prime number is 27109. The next prime is 27127 (a gap of 18) and the one before is 27107.
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 2974th one is 27109.
- 2
27109 is prime because no prime up to ā27109 ā 164.65 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2974th prime is close to 2974 Ć ln(2974) ā 23785, and here it is 27109.
- 4
27109 is a twin prime: 27107 and 27109 are both prime.
Primes around the 2974th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2971 | 27091 | 14 |
| 2972 | 27103 | 12 |
| 2973 | 27107 | 4 |
| 2974 | 27109 | 2 |
| 2975 | 27127 | 18 |
| 2976 | 27143 | 16 |
| 2977 | 27179 | 36 |
Questions
What is the 2974th prime number?
27109.
Which prime number is 27109?
27109 is the 2974th prime number.
What is the sum of the first 2974 primes?
37,935,409.