What is the 3003rd prime number?
The 3003rd prime number is 27481. The next prime is 27487 (a gap of 6) and the one before is 27479.
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 3003rd one is 27481.
- 2
27481 is prime because no prime up to ā27481 ā 165.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3003rd prime is close to 3003 Ć ln(3003) ā 24046, and here it is 27481.
- 4
27481 is a twin prime: 27479 and 27481 are both prime.
Primes around the 3003rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3000 | 27449 | 12 |
| 3001 | 27457 | 8 |
| 3002 | 27479 | 22 |
| 3003 | 27481 | 2 |
| 3004 | 27487 | 6 |
| 3005 | 27509 | 22 |
| 3006 | 27527 | 18 |
Questions
What is the 3003rd prime number?
27481.
Which prime number is 27481?
27481 is the 3003rd prime number.
What is the sum of the first 3003 primes?
38,727,628.