What is the 4572nd prime number?
The 4572nd prime number is 43951. The next prime is 43961 (a gap of 10) and the one before is 43943.
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 4572nd one is 43951.
- 2
43951 is prime because no prime up to ā43951 ā 209.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4572nd prime is close to 4572 Ć ln(4572) ā 38531, and here it is 43951.
- 4
43951 has no twin: neither 43949 nor 43953 is prime.
Primes around the 4572nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4569 | 43913 | 22 |
| 4570 | 43933 | 20 |
| 4571 | 43943 | 10 |
| 4572 | 43951 | 8 |
| 4573 | 43961 | 10 |
| 4574 | 43963 | 2 |
| 4575 | 43969 | 6 |
Questions
What is the 4572nd prime number?
43951.
Which prime number is 43951?
43951 is the 4572nd prime number.
What is the sum of the first 4572 primes?
94,653,523.