Perfect Totient Number
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. More generally if p is a prime number greater than three, and 3p is a perfect totient number, then p 1 (mod 4) (Mohan and Suryanarayana 1982). Not all p of this form lead to perfect totient numbers; for instance, 51 is not a perfect totient number. Iannucci et al. (2003) showed that if 9p is a perfect totient number then p is a prime of one of three specific forms listed in their paper. It is not known whether there are any perfect totient numbers that are multiples…mehr

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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. More generally if p is a prime number greater than three, and 3p is a perfect totient number, then p 1 (mod 4) (Mohan and Suryanarayana 1982). Not all p of this form lead to perfect totient numbers; for instance, 51 is not a perfect totient number. Iannucci et al. (2003) showed that if 9p is a perfect totient number then p is a prime of one of three specific forms listed in their paper. It is not known whether there are any perfect totient numbers that are multiples of powers of 3 greater than 9 but not themselves powers of three.