What is the 2975th prime number?
The 2975th prime number is 27127. The next prime is 27143 (a gap of 16) and the one before is 27109.
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 2975th one is 27127.
- 2
27127 is prime because no prime up to ā27127 ā 164.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2975th prime is close to 2975 Ć ln(2975) ā 23794, and here it is 27127.
- 4
27127 has no twin: neither 27125 nor 27129 is prime.
Primes around the 2975th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2972 | 27103 | 12 |
| 2973 | 27107 | 4 |
| 2974 | 27109 | 2 |
| 2975 | 27127 | 18 |
| 2976 | 27143 | 16 |
| 2977 | 27179 | 36 |
| 2978 | 27191 | 12 |
Questions
What is the 2975th prime number?
27127.
Which prime number is 27127?
27127 is the 2975th prime number.
What is the sum of the first 2975 primes?
37,962,536.