What is the 4402nd prime number?
The 4402nd prime number is 42089. The next prime is 42101 (a gap of 12) and the one before is 42083.
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 4402nd one is 42089.
- 2
42089 is prime because no prime up to ā42089 ā 205.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4402nd prime is close to 4402 Ć ln(4402) ā 36932, and here it is 42089.
- 4
42089 has no twin: neither 42087 nor 42091 is prime.
Primes around the 4402nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4399 | 42071 | 10 |
| 4400 | 42073 | 2 |
| 4401 | 42083 | 10 |
| 4402 | 42089 | 6 |
| 4403 | 42101 | 12 |
| 4404 | 42131 | 30 |
| 4405 | 42139 | 8 |
Questions
What is the 4402nd prime number?
42089.
Which prime number is 42089?
42089 is the 4402nd prime number.
What is the sum of the first 4402 primes?
87,347,909.