What is the 1451st prime number?
The 1451st prime number is 12113. The next prime is 12119 (a gap of 6) and the one before is 12109.
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 1451st one is 12113.
- 2
12113 is prime because no prime up to ā12113 ā 110.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1451st prime is close to 1451 Ć ln(1451) ā 10563, and here it is 12113.
- 4
12113 has no twin: neither 12111 nor 12115 is prime.
Primes around the 1451st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1448 | 12101 | 4 |
| 1449 | 12107 | 6 |
| 1450 | 12109 | 2 |
| 1451 | 12113 | 4 |
| 1452 | 12119 | 6 |
| 1453 | 12143 | 24 |
| 1454 | 12149 | 6 |
Questions
What is the 1451st prime number?
12113.
Which prime number is 12113?
12113 is the 1451st prime number.
What is the sum of the first 1451 primes?
8,191,294.