What is the 2984th prime number?
The 2984th prime number is 27259. The next prime is 27271 (a gap of 12) and the one before is 27253.
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 2984th one is 27259.
- 2
27259 is prime because no prime up to ā27259 ā 165.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2984th prime is close to 2984 Ć ln(2984) ā 23875, and here it is 27259.
- 4
27259 has no twin: neither 27257 nor 27261 is prime.
Primes around the 2984th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2981 | 27239 | 28 |
| 2982 | 27241 | 2 |
| 2983 | 27253 | 12 |
| 2984 | 27259 | 6 |
| 2985 | 27271 | 12 |
| 2986 | 27277 | 6 |
| 2987 | 27281 | 4 |
Questions
What is the 2984th prime number?
27259.
Which prime number is 27259?
27259 is the 2984th prime number.
What is the sum of the first 2984 primes?
38,207,449.