What is the 5888th prime number?
The 5888th prime number is 58151. The next prime is 58153 (a gap of 2) and the one before is 58147.
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 5888th one is 58151.
- 2
58151 is prime because no prime up to ā58151 ā 241.15 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5888th prime is close to 5888 Ć ln(5888) ā 51112, and here it is 58151.
- 4
58151 is a twin prime: 58151 and 58153 are both prime.
Primes around the 5888th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5885 | 58111 | 2 |
| 5886 | 58129 | 18 |
| 5887 | 58147 | 18 |
| 5888 | 58151 | 4 |
| 5889 | 58153 | 2 |
| 5890 | 58169 | 16 |
| 5891 | 58171 | 2 |
Questions
What is the 5888th prime number?
58151.
Which prime number is 58151?
58151 is the 5888th prime number.
What is the sum of the first 5888 primes?
161,867,583.