What is the 4600th prime number?
The 4600th prime number is 44201. The next prime is 44203 (a gap of 2) and the one before is 44189.
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 4600th one is 44201.
- 2
44201 is prime because no prime up to ā44201 ā 210.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4600th prime is close to 4600 Ć ln(4600) ā 38796, and here it is 44201.
- 4
44201 is a twin prime: 44201 and 44203 are both prime.
Primes around the 4600th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4597 | 44171 | 12 |
| 4598 | 44179 | 8 |
| 4599 | 44189 | 10 |
| 4600 | 44201 | 12 |
| 4601 | 44203 | 2 |
| 4602 | 44207 | 4 |
| 4603 | 44221 | 14 |
Questions
What is the 4600th prime number?
44201.
Which prime number is 44201?
44201 is the 4600th prime number.
What is the sum of the first 4600 primes?
95,887,471.