What is the 1003rd prime number?
The 1003rd prime number is 7937. The next prime is 7949 (a gap of 12) and the one before is 7933.
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 1003rd one is 7937.
- 2
7937 is prime because no prime up to ā7937 ā 89.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1003rd prime is close to 1003 Ć ln(1003) ā 6931, and here it is 7937.
- 4
7937 has no twin: neither 7935 nor 7939 is prime.
Primes around the 1003rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1000 | 7919 | 12 |
| 1001 | 7927 | 8 |
| 1002 | 7933 | 6 |
| 1003 | 7937 | 4 |
| 1004 | 7949 | 12 |
| 1005 | 7951 | 2 |
| 1006 | 7963 | 12 |
Questions
What is the 1003rd prime number?
7937.
Which prime number is 7937?
7937 is the 1003rd prime number.
What is the sum of the first 1003 primes?
3,706,710.