What is the 2976th prime number?
The 2976th prime number is 27143. The next prime is 27179 (a gap of 36) and the one before is 27127.
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 2976th one is 27143.
- 2
27143 is prime because no prime up to ā27143 ā 164.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2976th prime is close to 2976 Ć ln(2976) ā 23803, and here it is 27143.
- 4
27143 has no twin: neither 27141 nor 27145 is prime.
Primes around the 2976th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2973 | 27107 | 4 |
| 2974 | 27109 | 2 |
| 2975 | 27127 | 18 |
| 2976 | 27143 | 16 |
| 2977 | 27179 | 36 |
| 2978 | 27191 | 12 |
| 2979 | 27197 | 6 |
Questions
What is the 2976th prime number?
27143.
Which prime number is 27143?
27143 is the 2976th prime number.
What is the sum of the first 2976 primes?
37,989,679.