What is the 4400th prime number?
The 4400th prime number is 42073. The next prime is 42083 (a gap of 10) and the one before is 42071.
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 4400th one is 42073.
- 2
42073 is prime because no prime up to ā42073 ā 205.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4400th prime is close to 4400 Ć ln(4400) ā 36913, and here it is 42073.
- 4
42073 is a twin prime: 42071 and 42073 are both prime.
Primes around the 4400th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4397 | 42043 | 20 |
| 4398 | 42061 | 18 |
| 4399 | 42071 | 10 |
| 4400 | 42073 | 2 |
| 4401 | 42083 | 10 |
| 4402 | 42089 | 6 |
| 4403 | 42101 | 12 |
Questions
What is the 4400th prime number?
42073.
Which prime number is 42073?
42073 is the 4400th prime number.
What is the sum of the first 4400 primes?
87,263,737.