What is the 2996th prime number?
The 2996th prime number is 27409. The next prime is 27427 (a gap of 18) and the one before is 27407.
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 2996th one is 27409.
- 2
27409 is prime because no prime up to ā27409 ā 165.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2996th prime is close to 2996 Ć ln(2996) ā 23983, and here it is 27409.
- 4
27409 is a twin prime: 27407 and 27409 are both prime.
Primes around the 2996th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2993 | 27367 | 6 |
| 2994 | 27397 | 30 |
| 2995 | 27407 | 10 |
| 2996 | 27409 | 2 |
| 2997 | 27427 | 18 |
| 2998 | 27431 | 4 |
| 2999 | 27437 | 6 |
Questions
What is the 2996th prime number?
27409.
Which prime number is 27409?
27409 is the 2996th prime number.
What is the sum of the first 2996 primes?
38,535,467.