What is the 1203rd prime number?
The 1203rd prime number is 9749. The next prime is 9767 (a gap of 18) and the one before is 9743.
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 1203rd one is 9749.
- 2
9749 is prime because no prime up to ā9749 ā 98.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1203rd prime is close to 1203 Ć ln(1203) ā 8532, and here it is 9749.
- 4
9749 has no twin: neither 9747 nor 9751 is prime.
Primes around the 1203rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1200 | 9733 | 12 |
| 1201 | 9739 | 6 |
| 1202 | 9743 | 4 |
| 1203 | 9749 | 6 |
| 1204 | 9767 | 18 |
| 1205 | 9769 | 2 |
| 1206 | 9781 | 12 |
Questions
What is the 1203rd prime number?
9749.
Which prime number is 9749?
9749 is the 1203rd prime number.
What is the sum of the first 1203 primes?
5,479,940.