What is the 2987th prime number?
The 2987th prime number is 27281. The next prime is 27283 (a gap of 2) and the one before is 27277.
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 2987th one is 27281.
- 2
27281 is prime because no prime up to ā27281 ā 165.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2987th prime is close to 2987 Ć ln(2987) ā 23902, and here it is 27281.
- 4
27281 is a twin prime: 27281 and 27283 are both prime.
Primes around the 2987th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2984 | 27259 | 6 |
| 2985 | 27271 | 12 |
| 2986 | 27277 | 6 |
| 2987 | 27281 | 4 |
| 2988 | 27283 | 2 |
| 2989 | 27299 | 16 |
| 2990 | 27329 | 30 |
Questions
What is the 2987th prime number?
27281.
Which prime number is 27281?
27281 is the 2987th prime number.
What is the sum of the first 2987 primes?
38,289,278.