What is the 4474th prime number?
The 4474th prime number is 42787. The next prime is 42793 (a gap of 6) and the one before is 42773.
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 4474th one is 42787.
- 2
42787 is prime because no prime up to ā42787 ā 206.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4474th prime is close to 4474 Ć ln(4474) ā 37609, and here it is 42787.
- 4
42787 has no twin: neither 42785 nor 42789 is prime.
Primes around the 4474th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4471 | 42751 | 8 |
| 4472 | 42767 | 16 |
| 4473 | 42773 | 6 |
| 4474 | 42787 | 14 |
| 4475 | 42793 | 6 |
| 4476 | 42797 | 4 |
| 4477 | 42821 | 24 |
Questions
What is the 4474th prime number?
42787.
Which prime number is 42787?
42787 is the 4474th prime number.
What is the sum of the first 4474 primes?
90,404,381.