What is the 1903rd prime number?
The 1903rd prime number is 16421. The next prime is 16427 (a gap of 6) and the one before is 16417.
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 1903rd one is 16421.
- 2
16421 is prime because no prime up to ā16421 ā 128.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1903rd prime is close to 1903 Ć ln(1903) ā 14370, and here it is 16421.
- 4
16421 has no twin: neither 16419 nor 16423 is prime.
Primes around the 1903rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1900 | 16381 | 12 |
| 1901 | 16411 | 30 |
| 1902 | 16417 | 6 |
| 1903 | 16421 | 4 |
| 1904 | 16427 | 6 |
| 1905 | 16433 | 6 |
| 1906 | 16447 | 14 |
Questions
What is the 1903rd prime number?
16421.
Which prime number is 16421?
16421 is the 1903rd prime number.
What is the sum of the first 1903 primes?
14,633,890.