What is the 61st prime number?
The 61st prime number is 283. The next prime is 293 (a gap of 10) and the one before is 281.
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 61st one is 283.
- 2
283 is prime because no prime up to ā283 ā 16.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 61st prime is close to 61 Ć ln(61) ā 251, and here it is 283.
- 4
283 is a twin prime: 281 and 283 are both prime.
Primes around the 61st
| Position | Prime | Gap from the previous |
|---|---|---|
| 58 | 271 | 2 |
| 59 | 277 | 6 |
| 60 | 281 | 4 |
| 61 | 283 | 2 |
| 62 | 293 | 10 |
| 63 | 307 | 14 |
| 64 | 311 | 4 |
Questions
What is the 61st prime number?
283.
Which prime number is 283?
283 is the 61st prime number.
What is the sum of the first 61 primes?
7,982.