What is the 6003rd prime number?
The 6003rd prime number is 59387. The next prime is 59393 (a gap of 6) and the one before is 59377.
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 6003rd one is 59387.
- 2
59387 is prime because no prime up to ā59387 ā 243.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6003rd prime is close to 6003 Ć ln(6003) ā 52226, and here it is 59387.
- 4
59387 has no twin: neither 59385 nor 59389 is prime.
Primes around the 6003rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6000 | 59359 | 2 |
| 6001 | 59369 | 10 |
| 6002 | 59377 | 8 |
| 6003 | 59387 | 10 |
| 6004 | 59393 | 6 |
| 6005 | 59399 | 6 |
| 6006 | 59407 | 8 |
Questions
What is the 6003rd prime number?
59387.
Which prime number is 59387?
59387 is the 6003rd prime number.
What is the sum of the first 6003 primes?
168,626,854.