What is the 2995th prime number?
The 2995th prime number is 27407. The next prime is 27409 (a gap of 2) and the one before is 27397.
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 2995th one is 27407.
- 2
27407 is prime because no prime up to ā27407 ā 165.55 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2995th prime is close to 2995 Ć ln(2995) ā 23974, and here it is 27407.
- 4
27407 is a twin prime: 27407 and 27409 are both prime.
Primes around the 2995th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2992 | 27361 | 24 |
| 2993 | 27367 | 6 |
| 2994 | 27397 | 30 |
| 2995 | 27407 | 10 |
| 2996 | 27409 | 2 |
| 2997 | 27427 | 18 |
| 2998 | 27431 | 4 |
Questions
What is the 2995th prime number?
27407.
Which prime number is 27407?
27407 is the 2995th prime number.
What is the sum of the first 2995 primes?
38,508,058.