What is the 5902nd prime number?
The 5902nd prime number is 58271. The next prime is 58309 (a gap of 38) and the one before is 58243.
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 5902nd one is 58271.
- 2
58271 is prime because no prime up to ā58271 ā 241.39 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5902nd prime is close to 5902 Ć ln(5902) ā 51247, and here it is 58271.
- 4
58271 has no twin: neither 58269 nor 58273 is prime.
Primes around the 5902nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5899 | 58231 | 2 |
| 5900 | 58237 | 6 |
| 5901 | 58243 | 6 |
| 5902 | 58271 | 28 |
| 5903 | 58309 | 38 |
| 5904 | 58313 | 4 |
| 5905 | 58321 | 8 |
Questions
What is the 5902nd prime number?
58271.
Which prime number is 58271?
58271 is the 5902nd prime number.
What is the sum of the first 5902 primes?
162,682,503.