What is the 1430th prime number?
The 1430th prime number is 11933. The next prime is 11939 (a gap of 6) and the one before is 11927.
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 1430th one is 11933.
- 2
11933 is prime because no prime up to ā11933 ā 109.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1430th prime is close to 1430 Ć ln(1430) ā 10390, and here it is 11933.
- 4
11933 has no twin: neither 11931 nor 11935 is prime.
Primes around the 1430th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1427 | 11909 | 6 |
| 1428 | 11923 | 14 |
| 1429 | 11927 | 4 |
| 1430 | 11933 | 6 |
| 1431 | 11939 | 6 |
| 1432 | 11941 | 2 |
| 1433 | 11953 | 12 |
Questions
What is the 1430th prime number?
11933.
Which prime number is 11933?
11933 is the 1430th prime number.
What is the sum of the first 1430 primes?
7,938,735.