What is the 3002nd prime number?
The 3002nd prime number is 27479. The next prime is 27481 (a gap of 2) and the one before is 27457.
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 3002nd one is 27479.
- 2
27479 is prime because no prime up to ā27479 ā 165.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3002nd prime is close to 3002 Ć ln(3002) ā 24037, and here it is 27479.
- 4
27479 is a twin prime: 27479 and 27481 are both prime.
Primes around the 3002nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2999 | 27437 | 6 |
| 3000 | 27449 | 12 |
| 3001 | 27457 | 8 |
| 3002 | 27479 | 22 |
| 3003 | 27481 | 2 |
| 3004 | 27487 | 6 |
| 3005 | 27509 | 22 |
Questions
What is the 3002nd prime number?
27479.
Which prime number is 27479?
27479 is the 3002nd prime number.
What is the sum of the first 3002 primes?
38,700,147.