What is the 2985th prime number?
The 2985th prime number is 27271. The next prime is 27277 (a gap of 6) and the one before is 27259.
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 2985th one is 27271.
- 2
27271 is prime because no prime up to ā27271 ā 165.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2985th prime is close to 2985 Ć ln(2985) ā 23884, and here it is 27271.
- 4
27271 has no twin: neither 27269 nor 27273 is prime.
Primes around the 2985th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2982 | 27241 | 2 |
| 2983 | 27253 | 12 |
| 2984 | 27259 | 6 |
| 2985 | 27271 | 12 |
| 2986 | 27277 | 6 |
| 2987 | 27281 | 4 |
| 2988 | 27283 | 2 |
Questions
What is the 2985th prime number?
27271.
Which prime number is 27271?
27271 is the 2985th prime number.
What is the sum of the first 2985 primes?
38,234,720.