What is the 1448th prime number?
The 1448th prime number is 12101. The next prime is 12107 (a gap of 6) and the one before is 12097.
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 1448th one is 12101.
- 2
12101 is prime because no prime up to ā12101 ā 110.00 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1448th prime is close to 1448 Ć ln(1448) ā 10538, and here it is 12101.
- 4
12101 has no twin: neither 12099 nor 12103 is prime.
Primes around the 1448th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1445 | 12071 | 22 |
| 1446 | 12073 | 2 |
| 1447 | 12097 | 24 |
| 1448 | 12101 | 4 |
| 1449 | 12107 | 6 |
| 1450 | 12109 | 2 |
| 1451 | 12113 | 4 |
Questions
What is the 1448th prime number?
12101.
Which prime number is 12101?
12101 is the 1448th prime number.
What is the sum of the first 1448 primes?
8,154,965.