the Secretary shall pay for such month benefits under this section to each such survivor in an amount equal to the amount of the benefits which would have been paid for such month to such survivor under title II of the Social Security Act (
42 U.S.C.
401 et seq.), if such veteran had been both fully and currently insured at the time of such veteran’s death and if such survivor had filed application therefor on the same date on which application for benefits under this section is filed with the Secretary.