What is the 2986th prime number?
The 2986th prime number is 27277. The next prime is 27281 (a gap of 4) and the one before is 27271.
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 2986th one is 27277.
- 2
27277 is prime because no prime up to ā27277 ā 165.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2986th prime is close to 2986 Ć ln(2986) ā 23893, and here it is 27277.
- 4
27277 has no twin: neither 27275 nor 27279 is prime.
Primes around the 2986th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2983 | 27253 | 12 |
| 2984 | 27259 | 6 |
| 2985 | 27271 | 12 |
| 2986 | 27277 | 6 |
| 2987 | 27281 | 4 |
| 2988 | 27283 | 2 |
| 2989 | 27299 | 16 |
Questions
What is the 2986th prime number?
27277.
Which prime number is 27277?
27277 is the 2986th prime number.
What is the sum of the first 2986 primes?
38,261,997.