This section is from the book "The Law Of Psychic Phenomena", by Thomson Jay Hudson. Also available from Amazon: The Law of Psychic Phenomena.

It is correctly true, as stated of him, that he will not only determine with the greatest facility and despatch the exact number of minutes or seconds in any given period of time, but will also solve any other question of a similar kind. He will tell the exact product arising from the multiplication of any number consisting of two, three, or four figures by any other number consisting of the like number of figures; or any number consisting of six or seven places of figures being proposed, he will determine with equal expedition and ease all the factors of which it is composed. This singular faculty consequently extends not only to the raising of powers, but to the extraction of the square and cube roots of the number proposed, and likewise to the means of determining whether it is a prime number (or a number incapable of division by any other number); for which case there does not exist at present any general rule amongst mathematicians. All these and a variety of other questions connected therewith are answered by this child with such promptness and accuracy (and in the midst of his juvenile pursuits) as to astonish every person who has visited him.

"At a meeting of his friends, which was held for the purpose of concerting the best methods of promoting the views of the father, this child undertook and completely succeeded in raising the number 8 progressively up to the sixteenth power. And in naming the last result, viz., 281,474,976,710,656! he was right in every figure. He was then tried as to other numbers consisting of one figure, all of which he raised (by actual multiplication, and not by memory) as high as the tenth power, with so much facility and despatch that the person appointed to take down the results was obliged to enjoin him not to be so rapid. With respect to numbers consisting of two figures, he would raise some of them to the sixth, seventh, and eighth power, but not always with equal facility; for the larger the products became, the more difficult he found it to proceed. He was asked the square root of 106,929; and before the number could be written down, he immediately answered, 327. He was then required to name the cube root of 268,336,125; and with equal facility and promptness he replied, 645. Various other questions of a similar nature, respecting the roots and powers of very high numbers, were proposed by several of the gentlemen present, to all of which he answered in a similar manner.

One of the party requested him to name the factors which produced the number 247,483: this he immediately did by mention-ing the numbers 941 and 263, - which, indeed, are the only two numbers that will produce it. Another of them proposed 171,395, and he named the following factors as the only ones, viz., 5 X 34,279, 7 X 24,485, 59 X 2,905, 83 X 2,065, 3.5 X 4,897, 295 X 581, and 413 X415. He was then asked to give the factors of 36,083; but he immediately replied that it had none, - which in fact was the case, as 36,083 is a prime number. Other numbers were indiscriminately proposed to him, and he always succeeded in giving the correct factors, except in the case of prime numbers, which he discovered almost as soon as proposed. One of the gentlemen asked him how many minutes there were in forty-eight years; and before the question could be written down he replied, 25,228,800; and instantly added that the number of seconds in the same period was 1,513,728,000. Various questions of the like kind were put to him, and to all of them he answered with equal facility and promptitude, so as to astonish every on© present, and to excite a desire that so extraordinary a faculty should, if possible, be rendered more extensive and useful.

It was the wish of the gentlemen present to obtain a knowledge of the method by which the child was enabled to answer with so much facility and correctness the questions thus put to him; but to all their inquiries on the subject (and he was closely examined on this point) he was unable to give them any information. He persistently declared (and every observation that was made seemed to justify the assertion) that he did not know how the answer came into his mind. In the act of multiplying two numbers together, and in the raising of powers, it was evident, not only from the motion of his lips, but also from some singular facts which will be hereafter mentioned, that some operations were going forward in his mind; yet that operation could not, from the readiness with which the answers were furnished, be at all allied to the usual mode of proceeding with such subjects; and moreover he is entirely ignorant of the common rules of arithmetic, and cannot perform upon paper a simple sum in multiplication or division.

But in the extraction of roots and in mentioning the factors of high numbers, it does not appear that any operation can take place, since he will give the answer immediately, or in a very few seconds, where it would require, according to the ordinary method of solution, a very difficult and laborious calculation; and, moreover, the knowledge of a prime number cannot be obtained by any known rule.

"It must be evident, from what has here been stated, that the singular faculty which this child possesses is not altogether dependent on his memory. In the multiplication of numbers and in the raising of powers, he is doubtless considerably assisted by that remarkable quality of the mind; and in this respect he might be considered as bearing some resemblance (if the difference of age did not prevent the justness of the comparison) to the celebrated Jedidiah Buxton, and other persons of similar note. But in the extraction of the roots of numbers and in determining their factors (if any), it is clear to all those who have witnessed the astonishing quickness and accuracy of this child that the memory has nothing to do with the process. And in this particular point consists the remarkable difference between the present and all former instances of an apparently similar kind".

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