What is the 5998th prime number?
The 5998th prime number is 59351. The next prime is 59357 (a gap of 6) and the one before is 59341.
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 5998th one is 59351.
- 2
59351 is prime because no prime up to ā59351 ā 243.62 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5998th prime is close to 5998 Ć ln(5998) ā 52178, and here it is 59351.
- 4
59351 has no twin: neither 59349 nor 59353 is prime.
Primes around the 5998th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5995 | 59281 | 8 |
| 5996 | 59333 | 52 |
| 5997 | 59341 | 8 |
| 5998 | 59351 | 10 |
| 5999 | 59357 | 6 |
| 6000 | 59359 | 2 |
| 6001 | 59369 | 10 |
Questions
What is the 5998th prime number?
59351.
Which prime number is 59351?
59351 is the 5998th prime number.
What is the sum of the first 5998 primes?
168,330,005.