What is the 4578th prime number?
The 4578th prime number is 43991. The next prime is 43997 (a gap of 6) and the one before is 43987.
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 4578th one is 43991.
- 2
43991 is prime because no prime up to ā43991 ā 209.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4578th prime is close to 4578 Ć ln(4578) ā 38588, and here it is 43991.
- 4
43991 has no twin: neither 43989 nor 43993 is prime.
Primes around the 4578th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4575 | 43969 | 6 |
| 4576 | 43973 | 4 |
| 4577 | 43987 | 14 |
| 4578 | 43991 | 4 |
| 4579 | 43997 | 6 |
| 4580 | 44017 | 20 |
| 4581 | 44021 | 4 |
Questions
What is the 4578th prime number?
43991.
Which prime number is 43991?
43991 is the 4578th prime number.
What is the sum of the first 4578 primes?
94,917,367.