What is the 5996th prime number?
The 5996th prime number is 59333. The next prime is 59341 (a gap of 8) and the one before is 59281.
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 5996th one is 59333.
- 2
59333 is prime because no prime up to ā59333 ā 243.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5996th prime is close to 5996 Ć ln(5996) ā 52158, and here it is 59333.
- 4
59333 has no twin: neither 59331 nor 59335 is prime.
Primes around the 5996th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5993 | 59263 | 20 |
| 5994 | 59273 | 10 |
| 5995 | 59281 | 8 |
| 5996 | 59333 | 52 |
| 5997 | 59341 | 8 |
| 5998 | 59351 | 10 |
| 5999 | 59357 | 6 |
Questions
What is the 5996th prime number?
59333.
Which prime number is 59333?
59333 is the 5996th prime number.
What is the sum of the first 5996 primes?
168,211,313.