What is the 2983rd prime number?
The 2983rd prime number is 27253. The next prime is 27259 (a gap of 6) and the one before is 27241.
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 2983rd one is 27253.
- 2
27253 is prime because no prime up to ā27253 ā 165.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2983rd prime is close to 2983 Ć ln(2983) ā 23866, and here it is 27253.
- 4
27253 has no twin: neither 27251 nor 27255 is prime.
Primes around the 2983rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2980 | 27211 | 14 |
| 2981 | 27239 | 28 |
| 2982 | 27241 | 2 |
| 2983 | 27253 | 12 |
| 2984 | 27259 | 6 |
| 2985 | 27271 | 12 |
| 2986 | 27277 | 6 |
Questions
What is the 2983rd prime number?
27253.
Which prime number is 27253?
27253 is the 2983rd prime number.
What is the sum of the first 2983 primes?
38,180,190.