What is the 4954th prime number?
The 4954th prime number is 48109. The next prime is 48119 (a gap of 10) and the one before is 48091.
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 4954th one is 48109.
- 2
48109 is prime because no prime up to ā48109 ā 219.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4954th prime is close to 4954 Ć ln(4954) ā 42148, and here it is 48109.
- 4
48109 has no twin: neither 48107 nor 48111 is prime.
Primes around the 4954th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4951 | 48073 | 24 |
| 4952 | 48079 | 6 |
| 4953 | 48091 | 12 |
| 4954 | 48109 | 18 |
| 4955 | 48119 | 10 |
| 4956 | 48121 | 2 |
| 4957 | 48131 | 10 |
Questions
What is the 4954th prime number?
48109.
Which prime number is 48109?
48109 is the 4954th prime number.
What is the sum of the first 4954 primes?
112,230,113.